{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"lightGBM_multivar_single_sites.ipynb","provenance":[{"file_id":"1bE9BR1VLYohcN5Ko1Xfqnulh5XF0Unyu","timestamp":1596632496528},{"file_id":"1IxQcZpOXeCS9CtXRmPjnFz7k5vwDTcqP","timestamp":1595516852382}],"collapsed_sections":[],"toc_visible":true},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"code","metadata":{"id":"ukOLd5z9o2NQ","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":71},"executionInfo":{"status":"ok","timestamp":1596647627076,"user_tz":-60,"elapsed":1725,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"ec9a6721-10fb-44a2-bcba-b746353d0c08"},"source":["  !nvidia-smi"],"execution_count":null,"outputs":[{"output_type":"stream","text":["NVIDIA-SMI has failed because it couldn't communicate with the NVIDIA driver. Make sure that the latest NVIDIA driver is installed and running.\n","\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"AIdpFAYUpDRR","colab_type":"code","colab":{}},"source":["import pandas as pd\n","from matplotlib import pyplot as plt\n","import numpy as np\n","from sklearn.metrics import mean_squared_error\n","from sklearn.metrics import mean_absolute_error\n","import lightgbm as lgb"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"GdwmDyu4pG2O","colab_type":"text"},"source":["# 导入数据"]},{"cell_type":"code","metadata":{"id":"Iib6DHLKDN84","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":122},"executionInfo":{"status":"ok","timestamp":1598792482476,"user_tz":-60,"elapsed":22016,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"f0bbc4f9-18be-415f-d400-c003aeea88e5"},"source":["from google.colab import drive\n","drive.mount('/content/drive')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["Go to this URL in a browser: https://accounts.google.com/o/oauth2/auth?client_id=947318989803-6bn6qk8qdgf4n4g3pfee6491hc0brc4i.apps.googleusercontent.com&redirect_uri=urn%3aietf%3awg%3aoauth%3a2.0%3aoob&scope=email%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdocs.test%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdrive%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdrive.photos.readonly%20https%3a%2f%2fwww.googleapis.com%2fauth%2fpeopleapi.readonly&response_type=code\n","\n","Enter your authorization code:\n","··········\n","Mounted at /content/drive\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"rylZ0333POOT","colab_type":"text"},"source":["这次我们准备使用五个监测站的数据。假定Bloomsbury监测站的数据出现异常，此时我们用Marylebone Road, Eltham, Harlington和N_Kensington的数据来推断Marylebone的数据。注意，该实验将会先从多变量预测开始预测，然后会从单变量开始预测"]},{"cell_type":"code","metadata":{"id":"E9MpBLKwpIlm","colab_type":"code","colab":{}},"source":["Marylebone_Road=pd.read_csv('/content/drive/My Drive/air_inference/data/Marylebone_Road_clean.csv')\n","Bloomsbury=pd.read_csv('/content/drive/My Drive/air_inference/data/Bloomsbury_clean.csv')\n","Eltham=pd.read_csv('/content/drive/My Drive/air_inference/data/Eltham_clean.csv')\n","Harlington=pd.read_csv('/content/drive/My Drive/air_inference/data/Harlington_clean.csv')\n","N_Kensington=pd.read_csv('/content/drive/My Drive/air_inference/data/N_Kensington_clean.csv')"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"pQ3uen_qQCza","colab_type":"code","colab":{}},"source":["Marylebone_Road=Marylebone_Road[['nox','no2','no','o3','pm2.5','ws','wd','air_temp']]\n","Bloomsbury=Bloomsbury[['nox','no2','no','o3','pm2.5','ws','wd','air_temp']]\n","Eltham=Eltham[['nox','no2','no','o3','pm2.5','ws','wd','air_temp']]\n","Harlington=Harlington[['nox','no2','no','o3','pm2.5','ws','wd','air_temp']]\n","N_Kensington=N_Kensington[['nox','no2','no','o3','pm2.5','ws','wd','air_temp']]"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"ageyQmUhU0ko","colab_type":"text"},"source":["先将每个监测站的columns更名。加上后缀为监测站的首字母"]},{"cell_type":"code","metadata":{"id":"9zdzb4LqRkp_","colab_type":"code","colab":{}},"source":["col_Marylebone=['nox_M','no2_M','no_M','o3_M','pm2.5_M','ws_M','wd_M','air_temp_M']\n","col_Bloomsbury=['nox_B','no2_B','no_B','o3_B','pm2.5_B','ws_B','wd_B','air_temp_B']\n","col_Eltham=['nox_E','no2_E','no_E','o3_E','pm2.5_E','ws_E','wd_E','air_temp_E']\n","col_Harlington=['nox_H','no2_H','no_H','o3_H','pm2.5_H','ws_H','wd_H','air_temp_H']\n","col_N_Kensington=['nox_N','no2_N','no_N','o3_N','pm2.5_N','ws_N','wd_N','air_temp_N']\n","\n","Marylebone_Road.columns=col_Marylebone\n","Bloomsbury.columns=col_Bloomsbury\n","Eltham.columns=col_Eltham\n","Harlington.columns=col_Harlington\n","N_Kensington.columns=col_N_Kensington"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"UVo7UDMpU8dW","colab_type":"text"},"source":["接下来将所有监测站的数据拼接起来"]},{"cell_type":"code","metadata":{"id":"oc3G44CBS4Nh","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":224},"executionInfo":{"status":"ok","timestamp":1598792486648,"user_tz":-60,"elapsed":5156,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"4caece02-5dec-4a47-adf8-ae88422f3f84"},"source":["dataset=Bloomsbury.join(Marylebone_Road)\n","dataset=dataset.join(Eltham)\n","dataset=dataset.join(Harlington)\n","dataset=dataset.join(N_Kensington)\n","dataset.head()"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>nox_B</th>\n","      <th>no2_B</th>\n","      <th>no_B</th>\n","      <th>o3_B</th>\n","      <th>pm2.5_B</th>\n","      <th>ws_B</th>\n","      <th>wd_B</th>\n","      <th>air_temp_B</th>\n","      <th>nox_M</th>\n","      <th>no2_M</th>\n","      <th>no_M</th>\n","      <th>o3_M</th>\n","      <th>pm2.5_M</th>\n","      <th>ws_M</th>\n","      <th>wd_M</th>\n","      <th>air_temp_M</th>\n","      <th>nox_E</th>\n","      <th>no2_E</th>\n","      <th>no_E</th>\n","      <th>o3_E</th>\n","      <th>pm2.5_E</th>\n","      <th>ws_E</th>\n","      <th>wd_E</th>\n","      <th>air_temp_E</th>\n","      <th>nox_H</th>\n","      <th>no2_H</th>\n","      <th>no_H</th>\n","      <th>o3_H</th>\n","      <th>pm2.5_H</th>\n","      <th>ws_H</th>\n","      <th>wd_H</th>\n","      <th>air_temp_H</th>\n","      <th>nox_N</th>\n","      <th>no2_N</th>\n","      <th>no_N</th>\n","      <th>o3_N</th>\n","      <th>pm2.5_N</th>\n","      <th>ws_N</th>\n","      <th>wd_N</th>\n","      <th>air_temp_N</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>38.719371</td>\n","      <td>27.599582</td>\n","      <td>7.252141</td>\n","      <td>47.360318</td>\n","      <td>7.497625</td>\n","      <td>4.598855</td>\n","      <td>257.279906</td>\n","      <td>5.378717</td>\n","      <td>219.745313</td>\n","      <td>81.948282</td>\n","      <td>89.868883</td>\n","      <td>20.680073</td>\n","      <td>10.368619</td>\n","      <td>4.594288</td>\n","      <td>258.053368</td>\n","      <td>5.187445</td>\n","      <td>10.387007</td>\n","      <td>7.380368</td>\n","      <td>1.960881</td>\n","      <td>59.104229</td>\n","      <td>10.931926</td>\n","      <td>4.508552</td>\n","      <td>256.806923</td>\n","      <td>5.348268</td>\n","      <td>25.652376</td>\n","      <td>17.162654</td>\n","      <td>5.536853</td>\n","      <td>58.319162</td>\n","      <td>4.669857</td>\n","      <td>6.536290</td>\n","      <td>254.682024</td>\n","      <td>4.977652</td>\n","      <td>18.634584</td>\n","      <td>16.685778</td>\n","      <td>1.270981</td>\n","      <td>60.070209</td>\n","      <td>6.872474</td>\n","      <td>4.594288</td>\n","      <td>258.053368</td>\n","      <td>5.187445</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>38.976582</td>\n","      <td>27.836512</td>\n","      <td>7.265368</td>\n","      <td>47.042127</td>\n","      <td>7.449653</td>\n","      <td>4.603798</td>\n","      <td>257.009139</td>\n","      <td>5.412134</td>\n","      <td>221.095446</td>\n","      <td>81.975320</td>\n","      <td>90.731783</td>\n","      <td>20.623365</td>\n","      <td>10.251473</td>\n","      <td>4.602090</td>\n","      <td>257.695571</td>\n","      <td>5.219898</td>\n","      <td>10.823717</td>\n","      <td>7.652696</td>\n","      <td>2.068089</td>\n","      <td>58.843670</td>\n","      <td>10.720061</td>\n","      <td>4.498159</td>\n","      <td>256.500375</td>\n","      <td>5.379024</td>\n","      <td>26.603729</td>\n","      <td>17.836684</td>\n","      <td>5.717718</td>\n","      <td>57.659575</td>\n","      <td>4.672704</td>\n","      <td>6.554847</td>\n","      <td>254.312810</td>\n","      <td>5.012679</td>\n","      <td>19.176644</td>\n","      <td>17.122874</td>\n","      <td>1.339436</td>\n","      <td>59.637749</td>\n","      <td>6.795094</td>\n","      <td>4.602090</td>\n","      <td>257.695571</td>\n","      <td>5.219898</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>39.251382</td>\n","      <td>28.072885</td>\n","      <td>7.290429</td>\n","      <td>46.715825</td>\n","      <td>7.416401</td>\n","      <td>4.621557</td>\n","      <td>256.762603</td>\n","      <td>5.453970</td>\n","      <td>222.430163</td>\n","      <td>82.046845</td>\n","      <td>91.555615</td>\n","      <td>20.582777</td>\n","      <td>10.169084</td>\n","      <td>4.613062</td>\n","      <td>257.370167</td>\n","      <td>5.255796</td>\n","      <td>11.238689</td>\n","      <td>7.897627</td>\n","      <td>2.178986</td>\n","      <td>58.579590</td>\n","      <td>10.543322</td>\n","      <td>4.510796</td>\n","      <td>256.218836</td>\n","      <td>5.420729</td>\n","      <td>27.500740</td>\n","      <td>18.461178</td>\n","      <td>5.895449</td>\n","      <td>57.038377</td>\n","      <td>4.669182</td>\n","      <td>6.579388</td>\n","      <td>254.014423</td>\n","      <td>5.051040</td>\n","      <td>19.723134</td>\n","      <td>17.548214</td>\n","      <td>1.418449</td>\n","      <td>59.211174</td>\n","      <td>6.717488</td>\n","      <td>4.613062</td>\n","      <td>257.370167</td>\n","      <td>5.255796</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>37.985254</td>\n","      <td>27.997451</td>\n","      <td>6.513879</td>\n","      <td>46.400863</td>\n","      <td>7.358787</td>\n","      <td>4.636919</td>\n","      <td>256.538550</td>\n","      <td>5.502388</td>\n","      <td>222.483880</td>\n","      <td>81.654154</td>\n","      <td>91.846755</td>\n","      <td>20.745120</td>\n","      <td>10.014187</td>\n","      <td>4.630636</td>\n","      <td>257.105888</td>\n","      <td>5.300848</td>\n","      <td>11.546266</td>\n","      <td>8.070745</td>\n","      <td>2.266678</td>\n","      <td>58.360156</td>\n","      <td>10.361331</td>\n","      <td>4.524491</td>\n","      <td>255.957051</td>\n","      <td>5.467779</td>\n","      <td>28.379700</td>\n","      <td>19.068324</td>\n","      <td>6.072721</td>\n","      <td>56.435795</td>\n","      <td>4.654887</td>\n","      <td>6.636912</td>\n","      <td>253.861244</td>\n","      <td>5.099631</td>\n","      <td>20.133219</td>\n","      <td>17.844811</td>\n","      <td>1.492463</td>\n","      <td>58.913020</td>\n","      <td>6.621239</td>\n","      <td>4.630636</td>\n","      <td>257.105888</td>\n","      <td>5.300848</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>38.973919</td>\n","      <td>28.512513</td>\n","      <td>6.822754</td>\n","      <td>46.033610</td>\n","      <td>7.302818</td>\n","      <td>4.658491</td>\n","      <td>256.342472</td>\n","      <td>5.554477</td>\n","      <td>221.593263</td>\n","      <td>81.130682</td>\n","      <td>91.607309</td>\n","      <td>20.959725</td>\n","      <td>9.813301</td>\n","      <td>4.661511</td>\n","      <td>256.906359</td>\n","      <td>5.350748</td>\n","      <td>11.794165</td>\n","      <td>8.191950</td>\n","      <td>2.349305</td>\n","      <td>58.183813</td>\n","      <td>10.154809</td>\n","      <td>4.533285</td>\n","      <td>255.699470</td>\n","      <td>5.517365</td>\n","      <td>29.266844</td>\n","      <td>19.683219</td>\n","      <td>6.250279</td>\n","      <td>55.827704</td>\n","      <td>4.636542</td>\n","      <td>6.716429</td>\n","      <td>253.903225</td>\n","      <td>5.156423</td>\n","      <td>19.865833</td>\n","      <td>17.747791</td>\n","      <td>1.381354</td>\n","      <td>58.671554</td>\n","      <td>6.515320</td>\n","      <td>4.661511</td>\n","      <td>256.906359</td>\n","      <td>5.350748</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["       nox_B      no2_B      no_B  ...      ws_N        wd_N  air_temp_N\n","0  38.719371  27.599582  7.252141  ...  4.594288  258.053368    5.187445\n","1  38.976582  27.836512  7.265368  ...  4.602090  257.695571    5.219898\n","2  39.251382  28.072885  7.290429  ...  4.613062  257.370167    5.255796\n","3  37.985254  27.997451  6.513879  ...  4.630636  257.105888    5.300848\n","4  38.973919  28.512513  6.822754  ...  4.661511  256.906359    5.350748\n","\n","[5 rows x 40 columns]"]},"metadata":{"tags":[]},"execution_count":6}]},{"cell_type":"markdown","metadata":{"id":"qsw13S-QuS9t","colab_type":"text"},"source":["# 多站点多变量进行预测"]},{"cell_type":"code","metadata":{"id":"3zTUeXsCuZ3V","colab_type":"code","colab":{}},"source":["var=dataset.values"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"vAm8BF6Nu3eI","colab_type":"text"},"source":["划分训练集，验证集和测试集"]},{"cell_type":"code","metadata":{"id":"S5Z9FaVUu7ji","colab_type":"code","colab":{}},"source":["def splitData(var,per_val,per_test):\n","    num_val=int(len(var)*per_val)\n","    num_test=int(len(var)*per_test)\n","    train_size=int(len(var)-num_val-num_test)\n","    train_data=var[0:train_size]\n","    val_data=var[train_size:train_size+num_val]\n","    test_data=var[train_size+num_val:train_size+num_val+num_test]\n","    return train_data,val_data,test_data"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"hAbQ9M0pu-6W","colab_type":"text"},"source":["我们的验证集合测试集都取10%的时间"]},{"cell_type":"code","metadata":{"id":"12s54oyKu_qb","colab_type":"code","colab":{}},"source":["train_data,val_data,test_data=splitData(var,0.1,0.1)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"B9MMKedCvBcQ","colab_type":"text"},"source":["查看长度"]},{"cell_type":"code","metadata":{"id":"3CL_EC11vDhf","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598792487257,"user_tz":-60,"elapsed":916,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"1018c536-b654-4393-8aa6-54eac93701fc"},"source":["print('The length of train data, validation data and test data are:',len(train_data),',',len(val_data),',',len(test_data))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["The length of train data, validation data and test data are: 14016 , 1752 , 1752\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"xM8DYu0RvGSt","colab_type":"text"},"source":["\n","取一定大小的窗口进行滑动，每个窗口的label值是窗口下一个预测的第一个空气污染物的值"]},{"cell_type":"code","metadata":{"id":"Neov5unqwMkx","colab_type":"code","colab":{}},"source":["train_window = 240\n","def create_train_sequence(input_data, tw):\n","    inout_seq = []\n","    L = len(input_data)\n","    for i in range(L-tw):\n","        train_seq = input_data[i:i+tw]\n","        train_label = input_data[i+tw:i+tw+1]\n","        inout_seq.append((train_seq.reshape(-1) ,train_label))\n","    return inout_seq"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"Nq2VNCQZwQNb","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598792490207,"user_tz":-60,"elapsed":1545,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"d03ac202-10c2-4929-a722-77f0fb493294"},"source":["train_inout_seq = create_train_sequence(train_data, train_window)\n","print('The total number of train windows is',len(train_inout_seq))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["The total number of train windows is 13776\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"SRKEVERCwOQs","colab_type":"text"},"source":["与上面创建train_data的sequence不同，验证集数据(实验是1752个验证集数据)只是label。其数据部分还是需要借助于train集中的数据，大小为一个窗口。而这一个窗口的数据并不会在训练过程中被使用"]},{"cell_type":"code","metadata":{"id":"pYIJhKWkwWSW","colab_type":"code","colab":{}},"source":["def create_val_sequence(train_data,val_data, tw):\n","    temp=np.vstack((train_data,val_data))   #先将训练集和测试集合并\n","    inout_seq = []\n","    L = len(val_data)\n","    for i in range(L):\n","        val_seq = temp[-(train_window+L)+i:-L+i]\n","        val_label = test_data[i:i+1]\n","        inout_seq.append((val_seq.reshape(-1) ,val_label))\n","\n","    return inout_seq\n","\n"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"Ue_28DR9kzB1","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598792491701,"user_tz":-60,"elapsed":650,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"044191a7-0aa1-4e2a-b9e7-a39274ff6041"},"source":["val_inout_seq = create_val_sequence(train_data, val_data,train_window)\n","print('The total number of validation windows is',len(val_inout_seq))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["The total number of validation windows is 1752\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"5Ite_y8OWk4Y","colab_type":"text"},"source":[" 此时的label的shape是[1,40]。注意，真正的label只有这40个值中的前五个"]},{"cell_type":"code","metadata":{"id":"9Rr2_qTvTKkm","colab_type":"code","colab":{}},"source":["def create_test_sequence(train_data,val_data,test_data, tw):\n","    temp=np.vstack((train_data,val_data))   #先将训练集和测试集合并\n","    temp=np.vstack((temp,test_data))\n","    inout_seq = []\n","    L = len(test_data)\n","    for i in range(L):\n","        test_seq = temp[-(train_window+L)+i:-L+i]\n","        test_label = test_data[i:i+1]\n","        inout_seq.append((test_seq.reshape(-1) ,test_label))\n","\n","    return inout_seq"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"SZV4fOxck3dz","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598792494329,"user_tz":-60,"elapsed":728,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"f93ac2e9-6290-4984-98fe-cf5715f91d0f"},"source":["test_inout_seq = create_test_sequence(train_data, val_data, test_data,train_window)\n","print('The total number of validation windows is',len(val_inout_seq))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["The total number of validation windows is 1752\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"CMCj4DOv2ncd","colab_type":"code","colab":{}},"source":["X_train=np.array([x[0] for x in train_inout_seq])\n","y_train=np.array([x[1] for x in train_inout_seq]).squeeze(1)\n","\n","X_val=np.array([x[0] for x in val_inout_seq])\n","y_val=np.array([x[1] for x in val_inout_seq]).squeeze(1)\n","\n","X_test=np.array([x[0] for x in test_inout_seq])\n","y_test=np.array([x[1] for x in test_inout_seq]).squeeze(1)\n"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"jQ5ugVR7SqZW","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598554819618,"user_tz":-60,"elapsed":581,"user":{"displayName":"Luo Mingming","photoUrl":"","userId":"07879216182861586278"}},"outputId":"1b138604-df2c-4007-f30a-5872435a38ec"},"source":["X_train.shape"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(13776, 9600)"]},"metadata":{"tags":[]},"execution_count":19}]},{"cell_type":"markdown","metadata":{"id":"O_ts1LLx6Saz","colab_type":"text"},"source":["下面是lightgbm的参数"]},{"cell_type":"code","metadata":{"id":"IFJvEY_H6QLo","colab_type":"code","colab":{}},"source":["params = {\n","    'boosting_type': 'gbdt',\n","    'objective': 'regression',\n","    'metric': {'l2', 'l1'},\n","    'num_leaves': 29,\n","    'learning_rate': 0.05,\n","    'feature_fraction': 0.9,\n","    'bagging_fraction': 0.8,\n","    'bagging_freq': 6,\n","    'verbose': 0\n","}"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"Rq4B1nL-Iysy","colab_type":"text"},"source":["下面的字典用于存放不同污染物的index"]},{"cell_type":"code","metadata":{"id":"hZrKeA1o7Lr7","colab_type":"code","colab":{}},"source":["index_dic={\n","    'nox':0,\n","    'no2':1,\n","    'no':2,\n","    'o3':3,\n","    'pm2.5':4    \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"Xlu7aE6KV8T3","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1598792500211,"user_tz":-60,"elapsed":899,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"ffa49ecf-0f43-4160-b195-e483e7791349"},"source":["X_test[0].reshape(1,-1).shape"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(1, 9600)"]},"metadata":{"tags":[]},"execution_count":20}]},{"cell_type":"code","metadata":{"id":"Mrg9D1GE6WP6","colab_type":"code","colab":{}},"source":["import copy\n","def predict_lgb_mul(attr):\n","  lgb_train = lgb.Dataset(X_train,y_train[:,index_dic[attr]])\n","  lgb_val = lgb.Dataset(X_val, y_val[:,index_dic[attr]], reference=lgb_train)\n","\n","  gbm = lgb.train(params,\n","                  lgb_train,\n","                  num_boost_round=30,\n","                  valid_sets=lgb_val,\n","                  # early_stopping_rounds=5\n","                  )\n","\n","  y_pred = gbm.predict(X_test, num_iteration=gbm.best_iteration)\n","\n","  x = np.arange(len(train_data)+len(val_data), len(dataset), 1)\n","  plt.figure(figsize=(8, 6))\n","  plt.grid(True)\n","\n","  plt.plot(dataset.loc[len(dataset)-len(test_data):,attr+'_B'].values,color=\"red\",label='real value')\n","  plt.plot(y_pred,label='prediction')\n","\n","  plt.title('hours vs '+attr)\n","  plt.ylabel(attr)\n","  plt.xlabel('hour')\n","\n","  plt.legend(loc='upper right',fontsize=15)\n","  plt.show()\n","\n","\n","  print('mse:', mean_squared_error(y_test[:,index_dic[attr]], y_pred))\n","  print('mse:', mean_absolute_error(y_test[:,index_dic[attr]], y_pred))\n","\n","\n","  #预测24小时之后的情况\n","  fut_pred = 96\n","  pred_list=[]\n","  X_test_mask=copy.copy(X_test)\n","\n","  for i in range(fut_pred):\n","    y_pred = gbm.predict(X_test_mask[i].reshape(1,-1), num_iteration=gbm.best_iteration)\n","    pred_list.append(y_pred)\n","\n","    if(i!=fut_pred-1):\n","      X_test_mask[i+1,40*index_dic[attr]+39]=y_pred\n","\n","\n","  plt.figure(figsize=(8, 6))\n","  plt.grid(True)\n","\n","  plt.plot(dataset.loc[len(dataset)-len(test_data):len(dataset)-len(test_data)+fut_pred,attr+'_B'].values,color=\"red\",label='real value')\n","  plt.plot(pred_list,label='prediction')\n","\n","  plt.title('hours vs '+attr)\n","  plt.ylabel(attr)\n","  plt.xlabel('hour')\n","\n","  plt.legend(loc='upper right',fontsize=15)\n","  plt.show()\n","\n","  y_true=dataset.loc[len(dataset)-len(test_data):len(dataset)-len(test_data)+fut_pred-1,attr+'_B'].values\n","  y_pred=pred_list\n","\n","  print('mse: ',mean_squared_error(y_true, y_pred))\n","  print('mae: ',mean_absolute_error(y_true, y_pred))\n","\n","\n","  y_pred=pd.DataFrame(y_pred)\n","  y_true=pd.DataFrame(y_true)\n","\n","  y_pred.to_csv('/content/drive/My Drive/air_inference/result24/lightGBM_'+attr+'.csv',index=False)\n","  y_true.to_csv('/content/drive/My Drive/air_inference/result24/true_'+attr+'.csv',index=False)\n","\n","\n","\n","\n","\n","\n","\n","\n","\n","  # y_pred=pd.DataFrame(y_pred)\n","  # y_pred.to_csv(\"/content/drive/My Drive/air_inference/result/lgb_mul_\"+attr+\".csv\",header = None, index = None)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"HkKU4L0w6XFO","colab_type":"text"},"source":["对nox进行预测"]},{"cell_type":"code","metadata":{"id":"HBQjq0sFLX0f","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1598792617474,"user_tz":-60,"elapsed":111387,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"bfe7c2e5-027c-44aa-b30c-0414097a7672"},"source":["%%time\n","predict_lgb_mul('nox')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 765.437\tvalid_0's l1: 21.3935\n","[2]\tvalid_0's l2: 781.691\tvalid_0's l1: 21.5957\n","[3]\tvalid_0's l2: 800.201\tvalid_0's l1: 21.8251\n","[4]\tvalid_0's l2: 820.597\tvalid_0's l1: 22.0738\n","[5]\tvalid_0's l2: 842.757\tvalid_0's l1: 22.3561\n","[6]\tvalid_0's l2: 866.043\tvalid_0's l1: 22.6466\n","[7]\tvalid_0's l2: 890.207\tvalid_0's l1: 22.952\n","[8]\tvalid_0's l2: 915.012\tvalid_0's l1: 23.2716\n","[9]\tvalid_0's l2: 940.047\tvalid_0's l1: 23.5925\n","[10]\tvalid_0's l2: 965.281\tvalid_0's l1: 23.9186\n","[11]\tvalid_0's l2: 991.006\tvalid_0's l1: 24.2493\n","[12]\tvalid_0's l2: 1016.43\tvalid_0's l1: 24.5878\n","[13]\tvalid_0's l2: 1041.74\tvalid_0's l1: 24.9248\n","[14]\tvalid_0's l2: 1066.77\tvalid_0's l1: 25.2615\n","[15]\tvalid_0's l2: 1091.4\tvalid_0's l1: 25.5947\n","[16]\tvalid_0's l2: 1116\tvalid_0's l1: 25.9225\n","[17]\tvalid_0's l2: 1139.8\tvalid_0's l1: 26.2407\n","[18]\tvalid_0's l2: 1163.32\tvalid_0's l1: 26.5522\n","[19]\tvalid_0's l2: 1186.11\tvalid_0's l1: 26.851\n","[20]\tvalid_0's l2: 1208.27\tvalid_0's l1: 27.1406\n","[21]\tvalid_0's l2: 1229.71\tvalid_0's l1: 27.4153\n","[22]\tvalid_0's l2: 1250.85\tvalid_0's l1: 27.685\n","[23]\tvalid_0's l2: 1271.19\tvalid_0's l1: 27.9451\n","[24]\tvalid_0's l2: 1290.8\tvalid_0's l1: 28.1943\n","[25]\tvalid_0's l2: 1309.86\tvalid_0's l1: 28.4365\n","[26]\tvalid_0's l2: 1328.26\tvalid_0's l1: 28.6721\n","[27]\tvalid_0's l2: 1346.05\tvalid_0's l1: 28.9014\n","[28]\tvalid_0's l2: 1363.15\tvalid_0's l1: 29.1203\n","[29]\tvalid_0's l2: 1379.7\tvalid_0's l1: 29.3314\n","[30]\tvalid_0's l2: 1395.5\tvalid_0's l1: 29.5305\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse: 36.90717384972954\n","mse: 4.696129491745331\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse:  72.8189557305342\n","mae:  7.106195901923847\n","CPU times: user 3min 26s, sys: 2.66 s, total: 3min 28s\n","Wall time: 1min 50s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"RFuwCjnHI3y0","colab_type":"text"},"source":["对no2进行预测"]},{"cell_type":"code","metadata":{"id":"20KD6-URB_D8","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1598792729295,"user_tz":-60,"elapsed":219029,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"6aa2dc1d-c4e3-4b56-b2c1-655955cc6b83"},"source":["%%time\n","predict_lgb_mul('no2')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 94.5502\tvalid_0's l1: 7.95348\n","[2]\tvalid_0's l2: 95.9417\tvalid_0's l1: 8.06096\n","[3]\tvalid_0's l2: 98.2457\tvalid_0's l1: 8.19412\n","[4]\tvalid_0's l2: 101.406\tvalid_0's l1: 8.34127\n","[5]\tvalid_0's l2: 105.223\tvalid_0's l1: 8.50081\n","[6]\tvalid_0's l2: 109.633\tvalid_0's l1: 8.6725\n","[7]\tvalid_0's l2: 114.489\tvalid_0's l1: 8.85473\n","[8]\tvalid_0's l2: 119.791\tvalid_0's l1: 9.04796\n","[9]\tvalid_0's l2: 125.385\tvalid_0's l1: 9.25109\n","[10]\tvalid_0's l2: 131.178\tvalid_0's l1: 9.45641\n","[11]\tvalid_0's l2: 137.106\tvalid_0's l1: 9.66588\n","[12]\tvalid_0's l2: 143.269\tvalid_0's l1: 9.88412\n","[13]\tvalid_0's l2: 149.498\tvalid_0's l1: 10.1015\n","[14]\tvalid_0's l2: 155.65\tvalid_0's l1: 10.3093\n","[15]\tvalid_0's l2: 161.862\tvalid_0's l1: 10.5133\n","[16]\tvalid_0's l2: 167.991\tvalid_0's l1: 10.7079\n","[17]\tvalid_0's l2: 174.094\tvalid_0's l1: 10.8962\n","[18]\tvalid_0's l2: 180.069\tvalid_0's l1: 11.078\n","[19]\tvalid_0's l2: 186.015\tvalid_0's l1: 11.2568\n","[20]\tvalid_0's l2: 191.833\tvalid_0's l1: 11.4299\n","[21]\tvalid_0's l2: 197.491\tvalid_0's l1: 11.5975\n","[22]\tvalid_0's l2: 203.048\tvalid_0's l1: 11.7602\n","[23]\tvalid_0's l2: 208.454\tvalid_0's l1: 11.9176\n","[24]\tvalid_0's l2: 213.723\tvalid_0's l1: 12.0701\n","[25]\tvalid_0's l2: 218.839\tvalid_0's l1: 12.2155\n","[26]\tvalid_0's l2: 223.785\tvalid_0's l1: 12.3553\n","[27]\tvalid_0's l2: 228.599\tvalid_0's l1: 12.4906\n","[28]\tvalid_0's l2: 233.22\tvalid_0's l1: 12.6193\n","[29]\tvalid_0's l2: 237.696\tvalid_0's l1: 12.7427\n","[30]\tvalid_0's l2: 242.044\tvalid_0's l1: 12.8624\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse: 4.449792932092665\n","mse: 1.716132706159509\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse:  4.262120385153515\n","mae:  1.6918962583520545\n","CPU times: user 3min 31s, sys: 1.16 s, total: 3min 32s\n","Wall time: 1min 51s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"Wfe_DXYHI9t2","colab_type":"text"},"source":["对no进行预测"]},{"cell_type":"code","metadata":{"id":"baakAPgIGOdK","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1598792835069,"user_tz":-60,"elapsed":322066,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"b7cb18c5-2839-482d-c0f7-19c6099981a7"},"source":["%%time\n","predict_lgb_mul('no')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 149.773\tvalid_0's l1: 9.12838\n","[2]\tvalid_0's l2: 152.76\tvalid_0's l1: 9.18742\n","[3]\tvalid_0's l2: 155.931\tvalid_0's l1: 9.26432\n","[4]\tvalid_0's l2: 159.107\tvalid_0's l1: 9.35118\n","[5]\tvalid_0's l2: 162.391\tvalid_0's l1: 9.44976\n","[6]\tvalid_0's l2: 165.755\tvalid_0's l1: 9.55113\n","[7]\tvalid_0's l2: 169.069\tvalid_0's l1: 9.65049\n","[8]\tvalid_0's l2: 172.426\tvalid_0's l1: 9.75168\n","[9]\tvalid_0's l2: 175.732\tvalid_0's l1: 9.8545\n","[10]\tvalid_0's l2: 179.027\tvalid_0's l1: 9.9545\n","[11]\tvalid_0's l2: 182.329\tvalid_0's l1: 10.0576\n","[12]\tvalid_0's l2: 185.531\tvalid_0's l1: 10.1582\n","[13]\tvalid_0's l2: 188.666\tvalid_0's l1: 10.2555\n","[14]\tvalid_0's l2: 191.744\tvalid_0's l1: 10.3522\n","[15]\tvalid_0's l2: 194.784\tvalid_0's l1: 10.4464\n","[16]\tvalid_0's l2: 197.74\tvalid_0's l1: 10.5379\n","[17]\tvalid_0's l2: 200.597\tvalid_0's l1: 10.627\n","[18]\tvalid_0's l2: 203.394\tvalid_0's l1: 10.7176\n","[19]\tvalid_0's l2: 206.091\tvalid_0's l1: 10.8034\n","[20]\tvalid_0's l2: 208.694\tvalid_0's l1: 10.8868\n","[21]\tvalid_0's l2: 211.214\tvalid_0's l1: 10.9689\n","[22]\tvalid_0's l2: 213.657\tvalid_0's l1: 11.0482\n","[23]\tvalid_0's l2: 216.004\tvalid_0's l1: 11.1257\n","[24]\tvalid_0's l2: 218.272\tvalid_0's l1: 11.2018\n","[25]\tvalid_0's l2: 220.426\tvalid_0's l1: 11.273\n","[26]\tvalid_0's l2: 222.499\tvalid_0's l1: 11.3418\n","[27]\tvalid_0's l2: 224.503\tvalid_0's l1: 11.4088\n","[28]\tvalid_0's l2: 226.438\tvalid_0's l1: 11.4729\n","[29]\tvalid_0's l2: 228.273\tvalid_0's l1: 11.5327\n","[30]\tvalid_0's l2: 230.03\tvalid_0's l1: 11.5908\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse: 7.229939699409453\n","mse: 2.0186753038619525\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse:  17.25327825763644\n","mae:  3.4620188341772433\n","CPU times: user 3min 19s, sys: 1.43 s, total: 3min 21s\n","Wall time: 1min 46s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"ZQxpsbjjI_64","colab_type":"text"},"source":["对o3进行预测"]},{"cell_type":"code","metadata":{"id":"WJYKRX0rG4Zf","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1598792949162,"user_tz":-60,"elapsed":433580,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"5aedd325-800b-4d19-e708-2191b57c4cf9"},"source":["%%time\n","predict_lgb_mul('o3')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 325.23\tvalid_0's l1: 15.4232\n","[2]\tvalid_0's l2: 328.54\tvalid_0's l1: 15.4967\n","[3]\tvalid_0's l2: 332.111\tvalid_0's l1: 15.5682\n","[4]\tvalid_0's l2: 336.088\tvalid_0's l1: 15.6531\n","[5]\tvalid_0's l2: 340.244\tvalid_0's l1: 15.7384\n","[6]\tvalid_0's l2: 344.582\tvalid_0's l1: 15.821\n","[7]\tvalid_0's l2: 349.05\tvalid_0's l1: 15.9017\n","[8]\tvalid_0's l2: 353.517\tvalid_0's l1: 15.9781\n","[9]\tvalid_0's l2: 358.177\tvalid_0's l1: 16.0566\n","[10]\tvalid_0's l2: 363.061\tvalid_0's l1: 16.1376\n","[11]\tvalid_0's l2: 367.814\tvalid_0's l1: 16.2152\n","[12]\tvalid_0's l2: 372.404\tvalid_0's l1: 16.2902\n","[13]\tvalid_0's l2: 376.901\tvalid_0's l1: 16.3624\n","[14]\tvalid_0's l2: 381.349\tvalid_0's l1: 16.4352\n","[15]\tvalid_0's l2: 385.712\tvalid_0's l1: 16.5077\n","[16]\tvalid_0's l2: 390.145\tvalid_0's l1: 16.5795\n","[17]\tvalid_0's l2: 394.613\tvalid_0's l1: 16.65\n","[18]\tvalid_0's l2: 398.721\tvalid_0's l1: 16.7143\n","[19]\tvalid_0's l2: 402.751\tvalid_0's l1: 16.7762\n","[20]\tvalid_0's l2: 406.638\tvalid_0's l1: 16.8357\n","[21]\tvalid_0's l2: 410.398\tvalid_0's l1: 16.8924\n","[22]\tvalid_0's l2: 414.054\tvalid_0's l1: 16.947\n","[23]\tvalid_0's l2: 417.601\tvalid_0's l1: 16.9995\n","[24]\tvalid_0's l2: 421.044\tvalid_0's l1: 17.05\n","[25]\tvalid_0's l2: 424.345\tvalid_0's l1: 17.0984\n","[26]\tvalid_0's l2: 427.599\tvalid_0's l1: 17.1451\n","[27]\tvalid_0's l2: 430.648\tvalid_0's l1: 17.1884\n","[28]\tvalid_0's l2: 433.88\tvalid_0's l1: 17.2347\n","[29]\tvalid_0's l2: 436.717\tvalid_0's l1: 17.2752\n","[30]\tvalid_0's l2: 439.386\tvalid_0's l1: 17.313\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAe4AAAGDCAYAAADtffPSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydeZgcZbX/P2/v+z5LMpOVACEhEEhAEJQIhgguKJclXjcuCndBUFFBQC7ixR0UFLiKqKAXNOCPRXEPJqIssoRAICGQZTKZSWbtfZ1e6vdHVU8ySc/e28y8n+eZZ7qrq6tOdXfVt855z3uOUBQFiUQikUgkUwNdrQ2QSCQSiUQydqRwSyQSiUQyhZDCLZFIJBLJFEIKt0QikUgkUwgp3BKJRCKRTCGkcEskEolEMoWQwi2R1CFCiDYhxLtrbYdEIqk/pHBLJJK6QQixVgixXQgREUL0CCHuF0K4am2XRFJPSOGWSGYwQghDrW04hKeB0xRFcQMLAQNwS21NkkjqCyncEkn9slwI8armfa4TQliKLwghLhNC7BBCBIUQvxFCzNaWzxdCKAcLshBioxDiU9rjS4QQTwshvieE6Ae+IoRYJIT4m7afPiHEulLGCCH+IIT49CHLXhFCnC9Uvqd5yVEhxBYhxLHDbGe2ZnNQO4bLiq8pirJXUZS+g1bPA4sm8NlJJNMWKdwSSf1yEfAeYAFwHHAJgBDiTOAb2uuzgD3Ar8ax3bcBu4Am4GvA/wB/BrxAK/CDYd73S+DDxSdCiCXAPOB3wNnAO4GjALdmW/8w2/kV0AHMBi4Avq4dU3G7pwshIkAM+Bfg9nEcm0Qy7ZHCLZHUL99XFGWfoihB4LfAcm35R4CfKoqySVGUDHAdcKoQYv4Yt7tPUZQfKIqSUxQlBWRRBXi2oihpRVH+Mcz7HkWNAsw7yI5HNBuygBNYDAhFUbYpirL/0A0IIeYApwHXavvaDNwLfLy4jqIo/9BC5a3Ad4C2MR6XRDIjkMItkdQvXQc9TgIO7fFsVC8bAEVR4qjebcsYt7v3kOfXAAJ4XgjxuhDi0lJvUhQlhupdr9UWfRh4QHvtr8CdwF1AjxDinmGSymYDQW1bRfaUsl1RlE7gj4wvmiCRTHukcEskU499qB4yAEIIO+AHOoGEtth20PrNh7x/SEtARVG6FEW5TFGU2cC/A3cLIYYbV/4l8GEhxKmABdhw0Ha+ryjKCmAJasj8i8PY7hNCOA9aNlezvRQG4IhhXpNIZiRSuCWSqccvgX8TQiwXQpiBrwP/VBSlTVGUXlQR/KgQQq95zyMKnxDiQiFEq/Y0hCrshWFW/z3qTcNXgXWKohS0bZwkhHibEMKIevOQLrUNRVH2As8A3xBCWIQQxwGfBP5P285HhBBztcfzUMfgnxzbxyKRzAykcEskUwxFUdYDNwL/D9iPKsxrD1rlMlRvtx9YiiqUI3ES8E8hRBz4DfAZRVF2DbPvDPAI8G7gwYNecgE/RhX+Pdq+vzPM/j4MzEf1vh8FbtKOCVRv/RkhRAJ1ath27XgkEomGUBRl9LUkEolEIpHUBdLjlkgkEolkCiGFWyKRSCSSKYQUbolEIpFIphBSuCUSiUQimUJI4ZZIJBKJZApRb52BShIIBJT58+eXbXuJRAK73V627dUr8jinF/I4pxfyOKcX5T7Ol156qU9RlIZSr00J4Z4/fz4vvvhi2ba3ceNGVq1aVbbt1SvyOKcX8jinF/I4pxflPk4hxJ7hXpOhcolEIpFIphBSuCUSiUQimUJI4ZZIJBKJZAohhVsikUgkkimEFG6JRCKRSKYQUyKrXCKRSKYber2eHTt2kM1ma21KRXG73Wzbtq3WZlSc8Ryn0WiksbERl8s1oX1J4ZZIJJIqE41GcblczJ49G6vVihCi1iZVjFgshtPprLUZFWesx6koCqlUis7OToAJibcMlUskEkmV6enpoaWlBZvNNq1FW3I4QghsNhstLS309PRMaBtSuCUSiaTKZLNZTCZTrc2Q1BCr1TrhYRIp3BKJRFIDpKc9s5nM9y+FWyKRSCSSKYQUbolEIplOZLPqn2TaIoVbIpFIpguFArzyCuzaVWtLJs3GjRsRQvDaa69VfF9tbW0IIXjiiScqvq9yIIVbIpFIpgvRqPo/FqutHZKKIoVbIpFIpguh0IHHilLVXefzeQYGBqq6z5mKFG6JRCKZDhQKQ4W7wiJ6ySWXsHLlSh577DGWLl2KxWLhn//8JwCPP/44K1euxGKxsGjRIq655pohU5/eeOMN1q5dy5w5c7DZbCxdupTbb7+dQqEw5v0nEgnsdjt33XXXYa+ddNJJfPSjHwVg//79XHrppSxcuBCr1cpRRx3Fl7/85VFvMoQQ3HnnnUOWfeUrXyEQCAxZ1t7eztq1a5k7dy42m401a9awffv2MR/HRJDCLZFIJNOBZFIV74YG9XkVvN+2tjauueYarrvuOv7whz+wYMECHnroIc4//3xOPvlkfvOb3/ClL32Je+65h+uuu27wfZ2dnRx99NHcfffd/P73v+eyyy7jpptu4lvf+taY922323nf+97HQw89NGT5rl27ePHFF1m7di0AfX19+Hw+vvvd7/LHP/6RL37xi/zsZz/jyiuvnPTxB4NBTj/9dLZv387tt9/OQw89RCKR4N3vfjepVGrS2x8OWfJUIpFI6oHPfhY2b574+wcGIJMBm00VcYsFjMaxvXf5crj99nHvsr+/n/Xr17N8+XJALef5xS9+kY9//OPcfffdAJx66qm43W6uuOIKrrvuOvx+P2eddRZnnXXW4HtOP/10kskkP/7xj4cI/GisXbuWCy64gH379jF79mwA1q1bh9frZc2aNQAsW7aMW2+9dfA9p512Gna7nUsvvZQf/OAHkyqE873vfY9EIsHmzZsxGo04nU5OO+005s+fz09/+lOuuOKKCW97JKTHLZFIJKPR0QGbNtXaipHJ50GnA71efV6FMe6WlpZB0QZ48803aW9v56KLLiKXyw3+nXnmmaTT6cEM8XQ6zU033cSiRYswm80YjUZuuOEGdu/eTS6XG/P+zznnHBwOBw8//PDgsnXr1vGhD30Io3bToigKt99+O0uWLMFqtWI0GvnIRz5CJpOhvb19Use/fv16Vq9ejcvlGjxWp9PJihUrePHFFye17ZGQHrdEIpGMxoc+BC++CN3d0NhYmX1MwOMdwquvgsMBCxeqnrvXC/Pmlce2YWhqahryvK+vD4Bzzz235Pp79+4F4Nprr+Xee+/lpptu4sQTT8Tj8fD4449zyy23kE6ncTgcY9q/xWLhvPPOY926dXzmM59h+/btvPLKK3znO98ZXOf222/ni1/8Itdeey1nnHEGXq+XF154gSuuuIJ0Oj2Rwx5yvM899xzr1q077LViRKESVFS4hRBtQAzIAzlFUVYKIXzAOmA+0AZcpChKaLhtSCQSSc0pek8bNsDFF9fWllIUCmqo3GJRn5tMVRnjPrRsp8/nA+Cee+7hhBNOAA4kkQEsWLAAgIcffpgrr7ySa665ZvC9v/vd7yZkw8UXX8z73/9+2tvbWbduHQ0NDZx55pmDrz/88MNccMEFfO1rXxtctnXr1lG3azabD0tgC4WGSpXP5+MDH/gAN95445DjBCraEa0aHve7FEXpO+j5l4AnFUX5phDiS9rza6tgh0QikYyfg+dEv/lm7ewYiaLneLBwZzJVN+Poo4+mpaWFtrY2LrvsMqB0u8tUKoXZbB58ns/n+dWvfjWhfZ599tl4PB4eeugh1q1bxwUXXIC+OFxQYl8ADzzwwKjbbW1tHdJfu1Ao8OSTTw5Z56yzzuKhhx5i6dKlg2HyalCLUPl5wCrt8f3ARqRwSySSeuXgKmQ7dtTOjpEoinRRoEymmhRh0el03HbbbXzsYx8jGo1yzjnnkMvl6Orq4rHHHuPXv/41NpuN1atXc9ddd7Fo0SJ8Ph933XUXmQneaBiNRs4//3y++93vsn///sGkuCKrV6/m+9//Pm9729s44ogjeOCBB9gxhu/xQx/6EHfddRcnnHACCxcu5N577yVaLHCjcfXVV/N///d/nHnmmXzqU59i0aJFdHd387e//Y3TTz+dD3/4wxM6ptGotHArwJ+FEArwI0VR7gGaFEXZr73eBTSVeqMQ4nLgclDHUTZu3Fg2o+LxeFm3V6/I45xeyOOsDYF//INjgZzNRuKll3i5DLa53W7y+TyxMomrKRLBDMRyOYjFMCoKlnyeWDh8IFmtzGSzWQqFwmHHcO655/LLX/6S2267jZ/+9Kfo9Xrmz5/PmjVryGQy5PN5vvGNb/DZz36WK664AovFwr/+679yzjnncNVVVxGLxVAUhWQyCaih9tE+pw984AP85Cc/YdasWSxfvnzI+p/73OfYt28fN9xww+C63/zmN7n44osHtx2PxwFIJpOD77366qvp7OzkhhtuwGQycfnll7No0SJ+/OMfD65jNptZv349X/3qV7nuuuuIRCI0NzdzyimncMQRR4xqdzqdnthvXVGUiv0BLdr/RuAV4J1A+JB1QqNtZ8WKFUo52bBhQ1m3V6/I45xeyOOsEf/7v4oCinLmmYoyf35ZNrl161YlGo2WZVuKoijK7t2Ksnnzgef9/YrywguKkkyWbx8TpKzHWcdM5Di3bt067GvAi8owmljR6WCKonRq/3uAR4GTgW4hxCwA7X9PJW2QSCSSSdGjXaKWLYOurqqXEh2Vvj717+Bx3OLcZFmCdFpSMeEWQtiFEM7iY+Bs4DXgN8AntNU+ATxeKRskEolk0vT0gM8Hc+aoSWCHjHPWnI4O9b/NdmBZUbhrkKAmqTyVHONuAh7VpgsYgAcVRfmjEOIF4CEhxCeBPcBFFbRBIpFIJkdPjzp3u7lZfd7VBW53bW0qoihq4RWTCbTKYYBaMU0I2Zd7mlIx4VYUZRdwfInl/UDlZqZLJBJJOSkl3EcfXVubimQyqnjPng2Ggy7nQqjiLUPl0xJZ8lQikUhGopRw1wtFj7pUTXK9XvXGJdMOKdwSiUQyEsUyp/Uo3MW63gcJdyydZV84pXrg46j7LZk6yFrlEolEMhy5HASDaqtMr1dt4tHbW2urDlAU5oPC5Lv7EgA0GgwYJlmLW1KfSI9bIpFIhqOYQV4UbZcLIpHa2nQwhwh3KnsgND5gMEmPe5oihVsikUiGo1j5yuVS/7vd9SfcOp36B7T3JwdfyuiNcox7miKFWyKRSIaj6HHXs3Br3na+oJDJ5bGbDAggIwxq17BCobY2lpE777xzSEeyjRs3IoQY7PM9Fu655x4ee+yxw5bPnz+fL3zhC2Wxs9LIMW6JRCIZjqJwF7s+ud31VYDlIOFOa2HyBqeZfZECmYLuwDrFgizTjBNPPJFnn32WI444Yszvueeeezj22GP54Ac/OGT5o48+it/vL7eJFUF63BKJRDIcmkjvFHaufmgzCa+/vjzubHZQuBMZdTzbatJjMejJFC/vdRQuT6VSZd2ey+XilFNOwWq1TnpbJ5xwAnPnzi2DVZVHCrdEIpEMhzbG/Y3tAzyyqZPvtL6jvoQ7lxucChZN57CZDBj1OsxGHZkCFIrrVIBLLrmElStX8thjj7F48WIsFgunn346W7duHVxHCMGdd97JZz/7WRoaGli2bBmgdsW65pprmDNnDmazmeOPP57f//73Q7afyWT49Kc/jcfjwefz8bnPfY7sIZXgSoXKi93HjjrqKMxmM62trVxyySUArFq1ipdeeon7778fIQRCCO677z6gdKj8oYceYtmyZZjNZubMmcMNN9xA7qDP87777kMIwZYtWzjvvPOw2+0sXryYRx55ZNKf70hI4ZZIJJLh0DzupHap3G6tM49bC5UrikIqm8duVlt4Wox6FLTM8gp63Hv27OHqq6/mxhtv5MEHHyQSibBmzRrSB01Du+OOO9i/fz+/+MUv+P73vw/ABRdcwH333cf111/Pb3/7W0466SQ+8IEPsHnz5sH3felLX+Lee+/lxhtv5IEHHmDPnj3cdttto9r07//+79x0001cdNFFPPHEE9x2222DLULvvvtuFi9ezLnnnsuzzz7Ls88+y3vf+96S2/nzn//MxRdfzIknnsjjjz/OlVdeya233sqnP/3pw9YttiV99NFHOfLII1m7di0dxRryFUCOcUskEslwaMLdHlM9vRcNPjLxBGZFUcuKlpGbf/s6W/eNc/w8FgNzDMW4l+RAHrNRh0Gno6AopAbymHMDGEzh0pXVDmLJbBc3vX/puG3u6+vj8ccf5+1vfzsAK1as4IgjjuC+++7jP/7jPwBobm5m3bp1g+958skn+d3vfsfGjRs544wzADj77LN58803+drXvsbDDz9Mf38/P/zhD7n55pv5/Oc/D8CaNWtYsmTJiPa88cYb/OQnP+GOO+7gqquuGlx+8cUXq8e5ZAl2u52GhgZOOeWUEbf13//936xatYr7778fgPe85z0AXHfddXz5y1+mtbV1cN3Pfe5zXHjhhTidTlasWEFTUxNPPPHE4GdQbqTHLZFIJMMRjZLV6dkXzdDisZJFx36rF8o8Vjshiu1FhaAw+FAM+a8IUdE2pI2NjYOiDTBv3jxWrFjB888/P7hs9erVQ96zfv16mpubOe2008jlcoN/Z511Fi+++CIAW7ZsIZ1Oc9555w2+T6fTDXleig0bNgAMhsYnSj6fZ9OmTVx44YVDll988cUUCgWeffbZIcvPPvvswcd+v5/GxkbpcUskEklNiEbZ1zyfggJvW+jjkU2d7HM1MD8SGdpGswyM2+NNpeD111EWLGS/3kpfPMPiZhcmgw5FUXhtX5RAPMQsuwEO8g7LSWNjY8ll+/fvH3advr4+urq6MJaIAuj1aqi/Sysre+h7S+3vYPr7+7Hb7biK0/cmSF9fH9lslqampiHLi8+DweCQ5R6PB+WgGySTyTRkuKDcSOGWSCSS4YjFaJ81H4AT5np5ZFMnQZtWPW3WrNrapo1dd+V19KUy6IXAqD/gcRt1gpzBCLnKtfbs6ekpuWzp0gM3IeKQIQWfz0dLS0vJudRFmrW68D09Pfh8vhH3dzB+v59EIkE0Gp2UeAcCAYxG42H76+7uBhhiUy2QoXKJRCIZjmiUvQHVW13e6gEgZK2TsqeacCfyanb0/IB9iEga9Dqy+so2Gunp6eGZZ54ZfN7e3s6mTZs4+eSTh33PWWedRVdXFw6Hg5UrVx72B7Bs2TIsFguPP/744PsKhcKQ56U488wzAfj5z38+7Dpj8Yb1ej0rVqzg4YcfHrL8oYceQqfTceqpp474/kojPW6JRCIZjmiUdu9CTHodRzc70QE9Dl/dCLcCDBTAazViNw+9nBt0ggGdvqLCHQgE+OhHP8ott9yC1WrlpptuorGxccQx5tWrV7NmzRpWr17Ntddey9KlS4lGo2zevJl0Os03vvEN/H4/l19+OTfddBMGg4GlS5fy4x//mHg8PqI9Rx99NJdffjmf//zn6enp4Z3vfCfhcJhf//rX/OpXvwJg8eLF/OlPf+JPf/oTfr+fBQsWlCy8cvPNN7NmzRr+7d/+jbVr17JlyxZuvPFGLrvssiGJabVACrdEIpEMRzRKd6ufRpcZk0HHApeB7YF5dSPcaYOZnKIcJtoABr0gKXQVFe558+Zx/fXX86UvfYk9e/awcuVKHnzwQSwWy7DvEULwyCOP8PWvf53bb7+d9vZ2fD4fy5cv58orrxxc79vf/jbZbJavfvWr6HQ6PvrRj3L11VcPZpkPx9133828efO49957+eY3v0ljY+OQ5LEvf/nLtLe3c9FFFxGNRvnZz35W8kbj7LPP5le/+hW33HILDzzwAI2NjXz+85/n5ptvHv8HVWakcEskEslwxGJ0W900Os0AzHZb6LV760a4B/TqJdxsPHzU06DXkRc6lFyO8k5cG8r555/P+eefX/I1RVGIFRu1HITZbObmm28eUQTNZjN33303d99995DlV1999eDjVatWDUkKAzXMff3113P99deX3O7ChQtZv379Ycvb2toOW3bxxRcPTiUrxSWXXDIo+gcfZ6ltlRM5xi2RSCTDEY3SY3LQ6FQ9SLfDQsTiqBvhzmrCbdQffik36gQKkCtQ0SlhkuojhVsikUiGIxqlR2+lyaV63B6XjbDVWR/CXSiQ14RbrzvcpzZoYp7T6euqXrlk8shQuUQikZRCUUgn00SFkUaX6nF7bCbCFieFSKT2Xk8+T15vQK8T6EpUcTNoYp7V67Ee1EWsXBRrfEuqT81/exKJRFKXpFL0WNS5wA3aGLfHZqSg0xGPJmppmUqhQE6nL+ltA4NzunMVziyXVB8p3BKJRFKKWEyd+gWDyWluq1rtK5LI1MysQQoF8jr9oGd9KAZdMVRukKHyaYYUbolEIilFNErY4gTAZzcBaqgcIJycfDWyQ7Ohx02hQE7o0OtKX8Z1OoFeCDnGXadM5vuXwi2RSCSliEaJWuwAuCyqp+2xqf/DmcKkNm00GhkYGJicffk8OZ1uWI8b1HHunN4AhcnZKyk/qVSqZL32sSCFWyKRSEoRjRI1a8Kthcg92v9wdnLecmNjI52dnSSTyQl7XgVFISv0mAzDX8YNekFWhsrrCkVRSCaTdHZ2jto0ZThkVrlEIpGUIhYjanEA4LSol0p30ePOT66kicvlIhqNsm/fPrLZiYXd8/u76A6nGbAZCZaonAYQSgyQzmQZ0OfgkI5W1SKdTo9YSW26MJ7jNBqNNDU1TbgRihTuWvLSSxCPg9ZMXiKR1BGax20ziMECJ4PJaYpBLWpSYhrWWMnn8yxatGjC73/z/I9y2Xlf5c5/PYH3HTO75Dp3/vUtbv3zm2znH5i/+Y0J72sybNy4kRNOOKEm+64m1TxOKdy1ROuEQ6EwqQuARCKpANEoEYsDt+XAZdJs0GMjT9hkg3QarNaamRfTZng5hvG24aBkuniGpmHXkkw15Bh3rUilDjw+qOm8RCKpEzSP26WJXxGPXiFsrXHZU0UhXlBv9p2W4YW7mA0fLEMWvKR+kMJdK/bsOfC4vb12dkgkktJEo0StjsOE220U6jSxcLhGhgGZDHGjOp7qMA+fmVzMgg+lZXLadEIKd63Yu/fA446O2tkhkUhKE4sRtbkGp4IV8Vj0RGot3IkEcbMNAMcYPO6QLJw2rZDCXSsOFu6DH0skkvogGiVqcQxOBSvisZkIWZ0QCtXIMCCRIGbShHuEMW6vFi0I5eWlfjohv81a0d6uJqTp9dLjlkjqkWiUqMmG6xCP1uMwq6HyGgv3oMc9YnKaNn1NkXnI0wn5bdaKvXuhuRkcDulxSyR1SCEaJWa0HOZxu112IlYHSmgfNZsLkkgQN9mw6ZRhm4yAmgVvL2QJiolV6JLUJ9LjrhXt7QzMncfmxSdJj1siqUMSyQwFoTt8jNvrIKs3kgzVMKtc87idxtFvHTxKlrDOXAWjJNVCCneteOstPnfSx/jgkn+lsz9ea2skEskhxNJqRpfLOjQw6XWpc7eDkWTVbRokkSBmsuIw6kdd1SdyBA21m28uKT9SuGtBKAR79vCUoxWALcIl++VKJHVGNKNOoXIe4nE3OtVpWD2xGrb2jMeJm204zKMLt0eXJ2SyqZXeJNMCKdy1YMsW9b9OPen2OfzQ1VVDgyQSyaFEtUYih4bKm1yqcHenajg3WhvjdlhGH7v2GSBscUCmDnqIS8qCFO5a0N5OXuhIaZ32NrUsluPcEkk9kc8TU9TL46GVyZrdqnB3ZWtYpljzuJ2HFIcphdckCFldkEhUwTBJNZDCXQs6O9ntm01Oi1y9MusomVkukdQT8fhhLT2LeG1GTIUc3fkaTsopetz20ZPOnGY9cZMVJS5zaaYLUrhrQWcnmxYuB2DNkT72OwPk90qPWyKpG7TiK8Bh87iFEPgLAwQPnU0bDsOpp8L991fevnicmNmGwzZ6G0mnxUhBpycRkcI9XZDCXQv27aOt9UgMOsFpxzST0xvo7uiptVUSiaRINEpMK3ByaHIagFvkCHPQ8l/8At77XnjuObjkkoqbp2ge90gNRooUa61Hw1UU7lQKvvIV2YehQkjhrgWdnbQF5jDHZ2NeQL2r39Mn74YlkrpB6wxm0YHJcPhl0m2AiMGituTt7YWPfxyeeUZ9UadTW35WkFQ8RUGnG7FqWhGnFk6PRas4xn377XDzzbB2bfX2OYOQwl0LOjvZ6prFEQ12lrW4AXglLSsbSSR1Qyym1ikfpsCJx2IgYnGoLXlfeWXoi4XCARGvEPHUADByg5EiTocaTo/FUqOsWSYSCfjmN9XHzz2HTXrdZUcKd7VRFILhBG0GJycv8OGzm3AWBtiflV+FRFI3aB63c5h50m6/S61X/vrrBxJLP/EJeOwx9fH27RU1L5ZW+2uPxeN2OdWQfzRR2SjAIJs3QzQKP/oRCEHjk09WZ78zCFmrvNokErQ7AgDM96tZq026HD2Y1CIsBvmVSCQ1JxolZHUOdtc6FE9zA5HdcXjttQPTrH70IzAawWyG3bsral48oxZsGssYt9PjALqJJaowj/vJJ+Hd71Yfn3suvO1teF96qfL7nWFIN6/ahELsdTcBMNev3gk3WnR0O3xq2E0ikdSeaJSQ1YXHUXq6ldvvIm20kH5tq+pxNzaSN5r4+H0vsvYj3yK3u62i5sW14jAO8+hDbE6fC4BoMltRmwD41KcOPG5pgRNOwN7WJqu2lRkp3NUmGBwU7jleTbhdFnrsXlmERSKpF6JRIhYHXpet5MsNmqD3vtmmnretrbzZHeOpN3t5rmERO3srmwgWy6rVm8YUKvd7AIhq4+IVJRYDQPm/B9jWFWP/0cdhSCSgs7Py+55BVFy4hRB6IcTLQogntOcLhBD/FELsEEKsE0KMXvpnOhEMstfTjN8Edu2kaw446Xb6ybfLIiwSSV0Qi6ket7305anRpQp3d2cv7NrFd084j3Pu+Pvg68/irqh58byaNDeWULnFYcOUyxLLVLgfQm8v9PfDbbdxa+BEzrnj77xzfysvzzpKzQWQlI1qeNyfAbYd9PxbwPcURVkEhIBPVsGG+iEYpMPdSKvjwAVh4bxGsnojHaX24+UAACAASURBVHu6a2iYRCIpko7GSRvNeIYZ4y7mp+xwNZPZsZO7/CcAcMJcD01igFccsyo6JSxeUIV7LB43gDObIjpQ4XD11q3sd/q5xbyYuzbsZMU8L41OE18785Owfn1l9z3DqKhwCyFagfcC92rPBXAm8GttlfuBD1bShrojGCRodRFwHRg7O2JeIwA7u2vY31cikQwS1hK5PLbSY8hzfTacZj1bmhex29tCXuj49gXH8dC/n8pRNtjpb63o0FdcUbPd7WMUblcuTSxXYeF+/XUeXH4O9+5V9/Nvp83nopPn81LLEvp+8nNZK72MVNrjvh24BtDaaeAHwoqiFGM2HUBLhW2oL0IhQjYXXrd9cNERjWoRlp2ROmztGQ7Du94FN95Ya0skkqoR1hK5hssq1+kEx7Z4eG3JybzVvBCAY2e7Mep1HOGzstPXilKp/gPZLDG9CROFksVhSuEsDBArVPByn8vBxo3sbpgLwL+c2Mp7l83iHUcFUITgpcBC+OtfK7f/GUbF5h4JId4H9CiK8pIQYtUE3n85cDlAU1MTGzduLJtt8Xi8rNsbDws3byY46wLikb4hNvgzMV5PKnV3nPPuv58FGzfCxo284vEQWrGiLLaVk1p+n9VEHmf1yIbUJKu2N7eysb/0nGx3YYAXLAE2/ufV0A57t75Ez5sCQzpIwuzmb397FsTwHcQmepwGrTOYrZAd8/ut2TRBvbFin+tR3/0us3/7W3b85z0sC+h5f2OIv/3tbwzkFXQobGlexKInnmCv01mR/dcD1fzdVnLS8GnAB4QQ5wIWwAXcAXiEEAbN624FSqYbKopyD3APwMqVK5VVq1aVzbCNGzdSzu2Nh9SD60gbzRy/eBGrVh0xuHzub35Or9FZVrvKcpxXXqk2Tujq4vj77oPPfKbu5prX8vusJvI4q8cfvvFjAFadehJLZrtKrhP17uOPbS/TafBjM0VY8+53AWCyvsG9j+7E6G3htBGOY8LHuXcvD5v+htukH/P71617lR16S+U+1/PPRwE6fC38y5GtrFp17OBLrc/9gVfnLOELYg9HTOPfbzV/txWLnSiKcp2iKK2KoswH1gJ/VRTlI8AG4AJttU8Aj1fKhnokqJUd9NmHjp3NMkOnxa2GnOqFXI7c9je59Z0f4xdXf4fUG2/BX/5Sa6skkooT1rK2hxvjBgbLFT+3K4jvoOzzRQtnAbAzVKHktGJnsGHKsZbCqYeYbvQWoBNCUSik0tzyxf8lnlOYH7APeXmBW8dTc45jT0d/ZfY/A6nFPO5rgauFEDtQx7x/UgMbaka/NnbmO6SP7rEeA23e2YR219Fc7j17eG72MdzJXG7ssHDHO/4V/v730d8nkUxxQgU1+Wu4MW6AeT4bdpO63iItTwWgIeDCmM+xL5GvjHHxOEGbC5957JdvlxGixtFbgE6I7m7+2bCIn+jmAHDSfN+Ql98+W43Q3ek45sDCZ55RhxG2bUMyfqoi3IqibFQU5X3a412KopysKMoiRVEuVBSlCnX46ocerQZCk2uocC/0WwHY19lbbZOGZ8cOfnn8GgAWBOz88OR/oWt7ZUs5SiT1QERnxEQBi3H4S6ROJzjvBDW39oPLD+TYCiFoSEfpyVQoizsWI2h14x8hGnAoTpOepNFCLl8YfeXx0tbG+iPfhkDh91e9g2Nbhs5hP9qn57308k/PPLUBC6hDcCAT1iaIrJxWZbrz6t1no3Po3W+DXx1H6+kOV92mYenspN/mocVh5JYPqmNWTxT8NTZKIqkwmQwhkx2vyCNGSC4D+PqHlvHsdWdy3vLZQ5Y35JL0Fko3KJk08Tj9NveQ8PxouLRCLRVp7bltG9saFnBcwDJsPsAsl4Vemwdl3z54+mnYtEl9Yd++8tszA5DCXWWC2vzLQ0+6xmY1vNQbjFXdpmHp6qLD3chJC/yctihAaz7Bk675tbZKIqks8TghixOPfmwe8yy39TCBb1Qy9FCZMeV0NE7CbMPvGnvo262F/CN95a8Vobz2Gm80zueY+Q3DrtMYcJEyWQi/tRueeoqM3sB/XXAjT7fVkaMyhZDCXU0UhSAmnOQOm3/Z0KL+6HsjVeqZOwZyXd10OQO0aMkm77fE+GfTUSRjyRpbJpFUkHiciNWJZ+yR6MNo1OfpMZaucz5Z+iPq+RfwOEZZ8wAeLacm3F9+4d66q4egzc2J83zDrnPskWrC3ivb95F7awcf+OSd/P6It/GpWe8uuz0zASnc1SSRIGRx4NUdPs5kaQzgSsfpSdRPVnl3b5Sc3kCr1gxlacBCQaenffueGlsmkVSQRIKIxYHLNPHLY6NZEDI7GMiVf0w5FFOz1d0e+yhrHsCtNUuJhMof0dsdVRNuj5szfH32ecfMB6Brf5DXXt3Fdm8rABmdnnymCs1PphlSuKtJOEzQ6sJb6k7eYqEhGaY3U4HkkQnSEVNPqFavmjjX3OQFoLuzp2Y2SSQVJx4nbrLiHGM50VI0aNM9i95xOUkk1Xxep3vsHndR5MORMo9xKwr70+o1q3mE0H1DQBX1jj1d7NeuKx/2pCno9PRvfau8Ns0ApHBXk3CYsNWJ11w6aaVxIEFPrn6+ks60OsZX9LgbtXB+dz0l0Ekk5SaRIG6y4bBMPFbeqIlYTwVucuNae06HdezJaR6vmjQWiZZ5KK63l+dmHcMcfRa3dfjPy2TQcXy0k2cLLh5c/h4Ajl8QAKB7647y2jQDqB+VmAloHrdvmGkcDUqaHiYxsFZmOgrqhWGWW70INc5XM2d7g/Ga2SSRVBolFidhsuIYQYhGo8Gvlvbs7QqWy6xB4mk1NO0YQ0vPIm5t1kokUebZt3v2sM8Z4GiXYdQM/CN1aTqdAaJmO41WHcccp1aO7Nole3WPFync1SQcJmR14XWUzjZtFDl69VYUpcJdfMZCJkOb1UezGMBiVCMElllNuFMxuqMzauq9ZIaRiSfI6Q3Y7RMvWNLc6AFgfwU6/sUH1MIuY23pCWD0uLFnkoRS2fIa09ZGr8NLg2/0sP1cl5Fuh48tzYt499JZzG5VI3h79ofKa9MMQAp3FUkHwyTMNrzu0tmmAaNCSm8iMVChikvjIRhkt6+FheaDxtwNBprSEbrraBxeIik3ca0ssdMxceFumB3AOpBmd3/5500nsur5Nx7hxuXCk44RTpf32tK3u4M+u5f5cwOjrvv2M1egCB0FnZ55DU4anGZaMlFeTtdPlHGqIIW7ioS1jE6vt3SHHK8W+gol6iDLMhRit282CxxDx+MbBxJ0F+qryYhEUk7icVW47c6JT+fSBQLMivXSHS//uRzPglAUbKZxFHix2/GmYoSy5Y3mvbpPvaYt16Z7jcTyd63EoEXTVx3dCMCJujibbM1QD1HGKYQU7ioSCqt33z5/6epCxYYG4WTthTvZ00/Y6qLlkNKsjYUUPaJCNY8lkjogrmVtO1xjn251GIGAKpRl9nAB4gVwFAZGHVMeghB4sylC+XG8Zwxsi6rHt7Rl+KlgRQx6HY99+nR+/R+ncnSz6rycEDCx3+GnZ2eFepdPU6RwV5FQXJ1/OVyo3KeVQQ2Fap/8FepVx5183qEXryYG6DXYKBTkHbJkelIUbuckxrix2fBmEoTKPKQMEFd02JXx13vw5NOEy1yG9c2siZaB2JjD9se2uFl5UBOShQuaAXj2+dI9zyWlkcJdRYIJ9SweruOQ162KZKiv9tOtQsEoAB7f0OhAkz5PVqcnVAdRAYmkEiS0rG37JOZxA3gZIFQo/yU2oehxMH5P3kuWkBj7FLKx8JbJw5H6ibcvPW7F0QD8aFvtnZWphBTuKhLMqCfbcM0BPD41fBTWRLOWhENqWN/b4B2yvEmLnMvMcsl0JZ5RvdnxTLcqhU/kCQlT2WeJxHRG7GL8CaIekSeiN5MvV7QsHGafw0erfeKfk2/RPC595fdsHzCQydVBUu4UQQp3FQlqTqpnmHncnoA6hSQUrn0t8JCWWett8AxZ3mhVT9Ke2MTvsiWSeiY+MIGs7RJ4TIKMzkAqW15BSuiMOCcQ8S42TYmlyxO/z+7aTdjqGtNUsGERgiWNdvJCx/d/+If6mAo7BZDCXUWCBR3uXBqjvvTHbvD78KSiBOtAFMNaZrvnkDnnbm2KTFSGyiXTlHhOFY/JCrdPq5AYLOcskUyGuMnKRJxct0lNTAsnyyPcPTvaAWhoHr65yFhYdt5ZANzVIXiprfwFa6YjUrirSD8m/MoIJ7HXiy8Zob8ORDGUVsOFnkPKKrq0ZgXRcB21H5VIykgiN4HpViXwWtT3l0sogcE66o4J2ObRbiQiZSrC0r6nG4B5C2ePsubIHH3+Gp6esx+AFzbvmrRdMwEp3FUkpDfjFSNkg3o8BJIR+iswhWS8hLIKjlzmsPajLq2VYDRc/sISEkk9ECuI8U+3KoFXK5laVo87HlfrqE9AuIu1xMNlEu493WouzmSFG6DlxKUs7O/gpTe7J72tmYAU7ioSNNrxGUZIKvF48Ccj9FdgCsl4Ced1ePKHh+zNHjfGfJao7MktmaYkFB2OCUy3OhSvQ41WFaeBlgMlGlXrqE+gAUqxJ3e56pW3RbMYCzlmeayT39ixx7KicxsvhfNynHsMSOGuFpkM/VYnfuMId/F6Pb58mv46qEwWxIiXwy9ewuPGlU4QK+PFSDJ1eKs7Ri4/vUvexoUe+wSmWx2KVxtWCgXLN6yUicbVOurj6AxWxOVSBTYSLs/Uq7fyZhZmIuh1ZSjq4nSyMtNDSDGwdf/Is2qCiYFp/xscDSncVUIpNhixjBzimltIEhQm+uO1nW4V1pnw6EucHG43rkxCJqfNQF7rjLD6e09x/aNbam1KRYnpTBOabnUobpcNoRQGKyaWg5gmug576UZFI+Ep1okokz1vWPwcNYk53Idy6mzVvq+M8Pva3hXj5K+t58M/fm5Gi7cU7ioR7w+T0xvwDVN8pchiRT0xd/bWcAy5UCBksuErFR1wOnGlE0QztR+Hl1SXVzrUwkCPvbyvxpZUlrDRirfUTes4MbhduNIJQmXsgR2JqNcHt3P84WmT24UrHae/DNNN09E4nc4ARzrKJyFzP3Ex7932FJv2hklkSg9V3P9sG7mCwgttIf6ydeaOh0vhrhLRfrW9n3uUjkPN9jqYJx2NErI4S0cHnE6cAwli9dDBTFJV9u1U+yYP5AtEypkpXU9kswQtTnyGMoyzulz4UlGCZRxWCmvXhaL3PF57AokwfWW4tvR29ADQ5Cpj34JTTuGiLevJI3i5vXT1yFde28PbO18nYBY88er+8u17iiGFu0pEtc5gxelUw1E8EboitRPuXF8/MYsDT6kKb0WPe/K5O5IpRvfmrYOPt3SWv890XZBIELS68ZnKMG7rcuFNRQmnyneyhLUhtOE6DI5mjzsdJ1qGrPK+rn4AAt5JNGI5FIeDE3UJdEqB50vM505n82yPKyxvf5339L7BX9/oITVDHQgp3FUiqo1NuUa5U3b73ZhzGXqitRPucLd6UnpLheMcDnWMu8xdhiT1T3fBwML+DnRKgafe6q21ORUhFY6RMlnwTbLcKaAJd4xgGad3FnsEeIbpMDiaPY6BJPEyiF1fr+oRBwITsGMEnEct5JhYF5v2hIYsTw3kOf/uZ8gJHcu6dnDuXx4klc1zx5NvlXX/UwUp3FUiGlXHlVy+ke+URSBAUyxId7B2Y9xh7aT0eErcZOh0uPIZokp5uwxJ6p+evJ4j+9p5W99O/rmrv9bmVISgNqTls5ZLuCOEy9gDO1IsjDRB4bYPpIhnJz9+36/1MvA3ekdZc5wsWcKSvW+wvWtoJv7Pn21j6/4ox3Tv4u2Lm3nbzpdx6xUee7lzRtY4l8JdJaIJ1YN2+T0jrxgI0JAI0VvDAich7eLlHebi4BR50kLPQG7mZnXORPbrrDTFgyxuf4M3u2PTsrVrMePa6xh/1vZhFD3uXPmiU6FMAX0hj3MC87hxOnEMJEnkJv+99UVURyQwu2HS2xrCkiUc1b2b3niG0EGFa17tiGDTw+/vuwr3pR9H77Dz9dgmuqJpXtk7TYdtRkAKd5WIaj9CV2CUO9RAoGwJJBMlFNEuXoHSNxkubapMuZoVSOqfWDpL1GilJd7HUb1tpLIFOkLly5auF4KacPtdZSgq4nDgTUZJoyvbWGw4q+AZSEysqpvTiSOTIl6Y/I1Ef2IARyaJpTEw6W0NYckSFvXvBWBX34H55q93hjlj69MIgOXL4cwzOemxnwPwakft2yBXGyncVSKqhbgco2SVEwgQSIbpS9Uu/FNMgPEMEwZzaV2Gisckmf7sD6ke1uy5jSwIqtnlbf3Tr+xtscGP1z1yEumY0OvxFtRzqVz968N5He7sBG/qjUbs+QES6Cddnaw/XcCfioK1DDc4B3PMMcyJdAHQHlR/c9F0lrZgiqXdO9V15s6F//kfGjt2MYsMr3ZIj1tSIRIDOSy5DIZhOoMNooXKg1nI1qjAQEjLgvX6hgmVG9VjKEd2qmRq0Kk1lJh97FHMD6nTcPYEp1/Z26B20+r3TqJV5UF4hXoDXjbhVg7cDEwEu5IjjyAzyWGu/pzAn63AjZvbzVybDnshy6Y9qie9bZ9aSW2ptQCKAkLAsmWwYgXHBttHrbQ2HZHCXSWSA3ns+TGcvFqoHMrcnGAchDJ5jPkc9mHaGrrM6s8mJj3uGUNnh5pF3nLkHBrdVsxKjra+aehxp7LoC3lcw9y0jpdib4JQojw3uSFhxKNMfFsObZgrPkyBk7HSX9Djn8QNxEiYFh/NolgPe4JJwskBntFmMCw98aihK77jHTTv3UFvDWfg1Aop3FUimVewFsZwsng8BFLqHWRvrDZlT8NZRhxHc2mJMVE5xj1j2NcdxpjP0ji3Gd0xi1kU72Xz3vC0awgRTOfxpqLoHGXyuLXqg8EyedwRnRnPSB0GR8GuU7+v+CRvuvt1ZgKTsGNEliyhoX8fT73Zy9u/+Vfu2LCThniQxmVHD13v3HPxx4JE0rmaRSdrhRTuKpEsCOxj6TgkBA1G9eTqrVG98mBBhzc3/F2sS2sPKEPlM4fOcIrmWD+6lhZYvJhTdm7ipT0hfvTU9OqfHEwX8Kai4Bll9scYOdCTuzzCHTLa8Exipppdm8U5GY+7UFAIGqz4jBW6aVuyhOM73gDUSCXA4t42WLJk6HpLl+JPquPb5RqKmCpI4a4SCWHAqowt4azBqp5dfbXyuBXDiONoTq0wiwyVzxz2JfLMjvZCczMsXsxVG9WM3ie3Ta960cGsgjeTAOMEpluVwKOdK+UY9srk8iSNZryTMM2pif5wtcDHQiSVJa/T4zdXSD6WLOHTz67jHVpu7CJdmq/+5YewePHQ9RoaBoW7Py6FW1IBUuixjbHjUECbQ9pXox9jSGfGO0IYzO6woSvkiSZr28FMUj325XS0ZCJgNsMRR+DOJLjqSDMvtIUmPV5aT4TyOvwl+tBPFIPPiyuTIFyG2u4RTfzd5okXP7JriaWJgYl/Z8XOhf5SJZHLweLFCOBnhu18+1+O4w+7/x8LXEY4dPjCYBgsTVurfKBaIYW7SiR0Rmxj7PFr87mx5zI1G+MOGSx4dcPfZOhcTpyZJNEydj2S1C+5fIEuYaEF7eI4bx4AR2fUetLTKUktKEwj3rSOG58PbypKMDH5czmslU322ibucjtMqujHJ9jdL5bOcuMjrwDQ6ipDkZpS+P3gcmFo281F938L469+CccfX3pV7bPol8ItqQQpvRGbboxjQsW53DUY41YUhbDJhmeka4PTqdYrj0vhngl0xzLkhY7Zxev03LkAtPSr7T27p0lWb6GgENKb8evKWEPB78ebjBAqQ0GlUJ8aFvZMoBd3EbtWg32iofJfPLeHZ/eodhzdWMYGIwcjBCxYAP/4B9x1l7rsuONKrup3q0MR/TXKB6oVUrirREJvwj7WTzsQoCHaX5Mx7ngmR05nwDvS+JXTiTOTIDbDEkJmKvvC6g1aS/EHbLeDz0fDnd8Fajf7odxEUlkKQofXVMbLos+HLxktS0/ucFCt3+2ZQC/uInZtRshEhftVrbzo1/54J44G34TtGJWFC2Hz5gPPL7yw5GoenwudUpCh8unOH1/r4s9t1c+GThlMWMc6NBUI0BgP0hWqfggyHFLDcR7rCC53sbVnamadLDOVTq206eyDey9/9rM09O3HiMLuaVJBrZiZ7C1Hg5EiPh+eVIxQGca4w1op4gn14taw21RvfSKJpYWCwqsdYdY0CD7yyh/BV0Hh/vCHDzzesGFYj1vn8+FLx2qWD1QrZpxwr9/WzR+rLNyKopA0mLEaxvhxBwLMCXexN5ImX+VGDqEetZ2ed6TEk2KofILjZJKpRWevWldgduCg5KAbb8Q0u5njM308t+vw3slTkeL0RvckQtGH4fPRkAzTm85PuilLOKZWqvNOoqqb3mbDNpCakMe9uSPMvkiac6xaxTy/f8J2jMqFF0IyCR0dsGrV8Ot5vfji4cGKdzOFGSfcLouRZBnb7I2FgUyWgk6PzTDG4v6BAK2RbrIFqj7OHQqqF+mSvbiLOJ24MnGiAzOr6MFMpbc3gjMdx9ZwyIX6yCM5tesNtnSEp0UxnoiW/OUuR4ORIj4frZFuBgqTr8vQHc1gG0hh806iqpvdjn0gRSI9fg91Z4/6+Zww0KcuqKTHDWod9JaWkdfx+fAlIwRnWKLsjBNut9VIOq9mylaLdFy9Q7UYxxgrDwRojqv9jrsi1U38CYe0cbSRwnFOJ55UnNDUv1ZLxkAwksSfjELgkE5QRx7Jqa89TUGBF3ZPfa870qeWGnZ5nOXbqM9Ha6QHgL2TrO3ekcjRGulBuN0T34jNhicdIzSBhMJN7SEMOsGs7r1gMEBDmVt6TgSvF38yTH8NuynWghkn3C5t/KqaxUNSWva11TR24W6KqxfCripn7BaTaIZrMAKA04kvGSGlCJKTmA8qmRqE4mm1mtihwr1wIcdvfxGA7/xpO9umeLOHqHbT6vaWV7iL3a72hiYp3CloifaAcxL22e00xMP0TkDotu6LcpI+jumbX4dcDnR1IB8+H/5klP4ZVsWxDj756uK2Vr/OdiqhCbd5jPMvAwGaY6rH3VNt4dZOaLd/ZOEOzNCKRTOR/mQOXynhbm3Fnk3jMul4oyvGOXf8nSe3dZPJTc3ch4iW/OVqKN3OdkJYLLQOqDcEHcHJhXM7czpaIj3gmlyovCERoncC521/YoDmvTvUJ1ddNXEbyonmcUcGlBlVr3zGCXexQUakindoKS1UbjWNMVvVbsefT2NUCnSGqyzciQFc6TgG7wi1mi0WfGn1YjTTpmHMREIDCr5k5PDQqDb+eMfSA5GkT97/Irf+aXs1zSsb0VgKU24Ay6Fj+ZPE4nbSkE+NyeP+w5b93LVhx2GRrHQ2T0Qx0JwMT64Hts2mCncyN+4GMcHEAN7+brj0Urj99onbUE68XvW3iXrtminMPOEebJBRxVC5VhrUYhmjxy0E+oCfufk4u3rjFbTscELpHL5kFEYaRxMCv1BvfPrLUBFKUr8oikJ/QafeqB3aeKO1FYB3Zbp4/oazePLzZ9DssvBmd3V/s+UimhzAnY6P/NufCD4fczIR9pbwuOOZHB+59zle3xchNZDnPx/YxHf+tJ2/bB1aA76YpNqgy6kFSiaK3U5jIkgqr4yrVG06myc5kMfftx/mz5+cDeXE5cKvdVOcSdXTZqBwq15vNUPlmZR60lkt46jtGwjQmg5XfYw7PKDgSUdHDcf5tZKoM23+5EwjOZBnAB0+sqA/JEejmPHb0UGj08IRDQ6WznZN2YIskUweVyYxuVB0KXw+WhP9dIQP97hf64zw9I5+PnLvP3lud//g8m37Y0PWK36mDZPtyGWz4UmpN1bjiToWI2u+VPTwLl21xO3Gn1CTCmfSsN2ME267Fq6uZmOEVFG4reMTbn8iXPXqaaE8eAeSo3ZH8mqHUq52hZL6pHjBLtmRympVpwR1dg4uanSZa9aOdrJEs4rqcU8m+asUfj9N0T56opnDwtPFcrHhZJZ/+9kLmA06ml2Ww8Lqg8I95ipOw2C3Yx9Qt50YRx2GQeFORuEd75icDeXE6cSf0vJtZlD0b8YJt8OsCneymsKtzZm02iyjrHkQgQANkT76EgPjHouaDKGCHm9+9BPAYTVhLOQJJmZWNudMoxh+9FmGEYw5c2DXgZ7cDQ4z/fFM1QsHlYNIHlwDSTCVueuVz0djsItMrkD0kNksHaGh4fNTj/CzqNFx2PJiZCvgHMc1pBQ2G44BddvxzNjP3cHfgc0AjY2Ts6Gc6PX4hXoDIj3uaYxNa4mXGKhe5mtKKw1qsY2jIlMgQKB/PwO5ArEq3mSEhQkPo5/QwunEm03OqISQmUjRI2y2DZNYecop8PTTkFV/Mw1OMwVlano/0YIO9xhuWsdNYyON3R0Ah03D6gyn8NqM/P2ad3H3R07kW/9yHHN8VjqCpT3ugHeSjT3sdhyaxz2eDmHF7ma+claVKxNusx6hKDMq+lcx4RZCWIQQzwshXhFCvC6EuFlbvkAI8U8hxA4hxDohRIWaupbGbNCjF5NrJD9e0tq+LLZxZIMGAvj71fmf1bqTzOTyJHRGvGPpjuR04svEB+s7S6Yn+7UGI83DtXBcvRpiMXj+eUAVbpiajUciGHArFbguzJpFQ0ytNtYdVT+X3liGYLrAju44LV4rc3w2zl02iyaXhVavjf7EwJDM8r5YGk8qitE/yWplXq86HADjajVavAYVu3HVEzq3C1dhoKozhWpNJT3uDHCmoijHA8uB9wghTgG+BXxPUZRFQAj4ZAVtOJyPfQxXKka4mtPBtBPQah9nqDyh1g2v1lzusNYIwasfQ5jT6cSbikrhnubsj6Qx5bL4hyvIUxzvfO45UJQpK9yFgkJUGHGJCkTiZs9mUX8HegHP7OzjIV8thgAAIABJREFU8c2dnPS19Vy9McXzbUGaXUOvC3N8NoAhWeh9oTiBRPjwufTjxW5nTjKIXlHY2TP25jC9sQymfBZ3YIRporXC7cadS1X1ml5rKibcikpxXohR+1OAM4Ffa8vvBz5YKRtKYrOpRf+reGEpCrfFOY4w10HV03qqZOtgAspILT2LOJ14E5FpMY9bURR++8o+WQWuBPv7ojTH+hANwwhGcW73F74ADgcNb2wBpp5wJwZyFIQOt74CRTxmz6YxEeIYO9y1YSfXP6J+RqfNVocf3n1M05DVFzeryXGvdoQHl/VFkqpwT7axhxCYPW7m5ePs6Bn7tL3uaJqmeBDR1DT6ytXG7caTSUiPu1wIIfRCiM1AD/AXYCcQVpTBeFQHMEoV+TLjdNIYC1ZXuLMFTLkshnGGypu06mndVfK4i+PVXssYCsU4nXhioWlxsmzc3suVv3yZTz/4clVr2E8FuoIJZsX6hq9LLcSBFozJJA0Xfwio3s1muSj+jl1l7Og5yOzZAHzart6IJwby/Pf7lnDZcWZe+e+zufikOQfWzWRY5LdhMarV6Ir0xQcIJMvgcQP4/SxK9bNjHDUiukMJmqN9UI/C7XLhTsUHI4YzgUr8TAdRFCUPLBdCeIBHgcVjfa8Q4nLgcoCmpiY2btxYFpvm9ffTGFPY1hsu2zZHo7sviAUDTz3/PAXL2MLl9t27WZlJYCbPi6+/xaJ8+7j3G4/Hx3WMz+9X76cGYsFR3ze3txdPMksoMcCGDRsQNSzIMN7jPJTbXlRvjP76Rg+fuOsvXHZc/SXgwOSPcyK09cZ4e6yPV/cJgsPt+7LLMF50Ef6nn2bxrbdiEwU2v7GTjaJjQvusxXG2R7UQeTJW9n2LgQHOAI56/W8E5pxPX0oh37uLuDHFjvvvZfG3v83LP/gBuoEBVl56KaGTTiJwxufY9GY7GzeqDUq6E1nOSIR5qa2N2CTtW67XM6d7N0+65rP+rxsw6EY/d9v2Rzkx3s+2fh3d49x/pb/PoxIJnIUQb/VHqv67OZhq/m4rKtxFFEUJCyE2AKcCHiGEQfO6W4HOYd5zD3APwMqVK5VVI/VkHQ+bNtHwmy3EsoIzzjijKoLzh7/swRrO8M7Vqw8vYjEcRx4JQLNBweRuZNWqE8a9340bNzKez23v07vglW0cc+R8Gkd732uv4dnyV/IKrDz1dJxjrQpXAUY7zi0dEdqDSd5zbDP6Qy5ShYLCpzf8mXce1UAklWVHJDWuz6yajPf7nCyFgkLoT79jVrSP4868GE46aeQ3HH883HorzYYCJncDq1adOKH9Vvs4AZ7d2Q/PPMecZj9vr8S+3W4W2u08dtUqntzWw0dPmcffn/obK377W2hr4/RkErq7IRKhaf165pz9BXI2J6tWvV2tWvbHP9KQCLFizRpYsGBytixcyLHRLvIKzFu6kiObRp63ns0X6PvTH2iN9HDMqrUcM87Pp+Lf5+9+h/f1KAPCWNNzt5q/20pmlTdonjZCCCuwGtgGbAAu0Fb7BPB4pWwoictFQzLMQF6pWtnTVF7BmsuMXbRhcCzLXRioWpW3UFANzXk9YxiLdzrxpNT16zlEtaMnxvvv/AdXPLiJ53b1H/b67v4E8UyO9y2bxepjGumOZkhnp2aTjHLTnxggqwg1VD6WEO28eWCzEcjEptwY92CofDxFksZDYyP09NDqtfGJt88/cAOphdHZsAGefXZwdU/mQOi3WO60nKHyJe3bAHilIzLq6s/vDpJVYFn3jvoMlbvdeOLqsF01a17UkkqOcc8CNgghXgVeAP6iKMoTwLXA1UKIHYAf+EkFbTgcp1NN8mDyje3HSrIAlvw4xc1iAYcDRy5NvEotSIPhBM50HKNnDLWaXa5B4a7nce4/bOkafLyzxJjeU2/2ArCs1U2Tlt3bE51aolMpiuLbmAiOrfeyTgcLF9KQCFW94t9kiWq1Ftz2Cgp3d/fhy8NaAtoPfwi//CV8UM3V9Rw082VwDnc6Dg7H5G3x+zly5xaMelHynDiUYrvW09s216dwu1y4M3HyhfHVX5/KVDKr/FVFUU5QFOU4RVGOVRTlq9ryXYqinKwoyiJFUS5UFKW6Z7jTiT9ZrG1bLeEWOPITyL4OBLBnklX7MYZiKbUW8ViaLLhceLT5oPU8Jez5tiDz/TZ8dhMvt4eHvLZ1X5Sbf7sVp8XAkY0Omt2qcFe7Pny9MjjLIJsC+xhnRDQ20hDrn3LJadFiS09HheYpNzVBT8/hyzs74V3vgq9/Xb1Z/6//gsZG1YNMqh7kYNU0E+Vp7uH3o8tlCdiMY4qMdEXSWMmr87/L4fGXG7d7QvXXpzL/n733DnPsrM/+P0e9t5Gmby/e7nXD68piimkBQ2wDSQj4pf0SEggtgRTgDRATEkIIb+I3EEoAQ/yCTUwLmGJjG3ttr8t67e19pzf1Xs7vj+cctZFmVGc0Xt3XtZdmJY3mSDrnuZ9vu+8LTjkNhyMfcS+VQUZU1mDJNfC3fD7s8ciSEfdcNIW7VuJ2OnElOj9V/sz5ANdt8nHtRi8Pn5gpeeyHB8YA+M//9SJ0Wk0+4u4St8BcrEjutFbC6O3FNzdJJJkhvoTqhM0iFIohyTnsjiaVyapBSZXPw8iIkI392McgFBKCNsPDuAIzpLI54ulsIVVuatFyrZThfCZNTcQ9HkwwkI0j9fQs6mGwLHA6cShBRCevRa3EhUfcRanypZJljMkarLkGyNfrxRYNLV3EncgubumpwunEpdjpdarwwTPnA4QTGYbdZrYOCNeqcFG/wPNjQbYPOrh0tRugKFXeJW4oGg+sJ33c24tHUfzr5ExMOYLhOPZkDI2zxc5gKnp7YWYGslmIROD738e9fz+Mjxdc1lRSHBrCNTMOgD+WzpcdeprVKVfhEeprvTq5pszISCBOfzLUmWlyKAkiQh26FrUaFyRxe+Ih9MiMBub747YDMUmLpREpRa8Xa9hPNFm/6X0j8CdztUfcDkdeOjHQgSIs0WSGm/71twBcub6HVR6RAlXVqGRZ5tBYiG0DhYXaYdJh1muZCHaJG0RzmiTLuJx1RKG9vbjnRC13RRF3NNkeZzAVw8Mgy/DEE/BHfwS33MLFH/mIIPLyLvHhYXpHzwAwEYwzGU7gSMUweVqkWqZG3FJq0Yg7ksxwcCTArtmznUvcxWtRl7hfoHA40Mo51unSnKxDOagZRCU9VqkBYQ+vF1twjnRWJplpvzDIXFaqvcbtdGLMZrCQ7ciL5a4nzud/3jnkZLUqI6nYJU6Fk8xGU2wfLBC3JEn0OYzdVLkCfzSFKxVFW001rRJ8vhUxbVCOUCzVXuJ+5SvF7b33wg9/CMDsnj3C2/pVryp97tAQq88fA+DsbIwj42EumhtpXX1ZcffypWPMRRd2chv1x8nJsH3sWOcS9wop27USFx5xKxfmJqIcm1wa4o5pdFhojLjtYZHWb7cpSjyVJS5rcNeaKjcaQa/HRbojL5b9Z4VK1adu2oFWIzHkEhH3qGKX+PyYGIPZNlj6XvscpiVTqut0zMWUnod6CMPtFps/WFFyuP5Etv0Rd28vfPazopZ9550cvP12eP558VjZc4eDk0jAmdkYh8dDbBs71rzcqYpVQqnNF5pZ1MltLCiul8HRk51l51kMpzMfcXeb016oMBrJ6XRsyoQ474+1vYEmlcmR0uiwaRojbmveO7e9xK2mNT3ZeG0NKJIkdrrZJMF45y3QR8bDvHpnP2/dswYAt8WATiPlG30OjQly2Tpgh2gUfvADkGX6naZuxK1gLpzEE/HXTdz53ocVlCqfTeZE74ujTTVuSYLbby/8f9eu6s8dHMSYzTBgknjmfIBoKsv62RZG3BYL+Hz4ZkUdfaHxx/GAuBYGJs51bsTtcGBOJzGQI9CBa1E7cOERN5C1WNgcn0WWK8/2thLqxsCiaaBG7fXmvXPDbZ7lVqMjdz3uSA4HrnQcf4dF3Il0ljOzUTb2FqInjUbCazPmm3GeHwuxpsciFN/+4i/gjW+ESy5hSJ9jPJDoapajjAfG6oy4XS7cSqp8LtpZ58VCmM1IYky0XRE3wGtfW/h58+bqz1Nm5lfpszx1VjgE9kbmWhdxA6xejW/sLLCwnsV4MI5GUv5+pxK30YhkNOKQM93mtBcyMhYLm0Oi8/XYZHiRZzeHqOI4ZdU2MH/p9WJTIu52p8rzEXc9IriKK0+nRVanZ6LkZNjUWypWsd5n5bjyfT+ndJSTTsN3viOecOAAa88cJpOTGfEvTeNiJ2MumhJp71rEV1S43ehzWeya3IppTounskRlDT2xYHuJu7cX3vAGePvbwbBAp77yeW+TChoOvZG51s5Qr15N77njwMJObmOBBH0GCZ2ca15qtZ1wOnHlkh1ZtmsHLkjizlosrPGPoddKba9zq1aRFl2DxJ0UEXe7U+X5iLsWS08VDgfORLjj6krHlabDTX0KcScSkMuxY8jJgZEgRyZCnJ+Ls2vYBUePgt8P3/42WCysHzsJCCnUCxmyLONPZEXPQ52pcgCXlO24DV01qDVebzwk0sjtxD33wNe/vvBzlM/7Nenx/F07Jk+0NuJeswbf8UPAYsQdZwDl8Q0bWvf3Ww2nE2c63nFrUbtwYRK32Yw+HGKdtxCBtQuRpEg9W/UNfNRFqfK217hV4jbXEXI7nbgjAQKxztIIPjEZRiPBOq8Vzp4VC+GHPsT1m0Qk87c/EgvWrmGnaA4C2LEDBgfZNHEKSYID5wPVXv6CQDiZIS0jIu56iFtpbPTkksytkOhHbVjszcZbo0zWLIxGsNu51H+GPes93OaOY8xmWh5xm0IB7EbtgsR9eibK2qRf9L2UN9F1EpxOXKloN+J+ISNjs0EwyKY+ez46axdiCuFaGiFuhyOfKm97xB1LI8k5nNY6LC0dDlwRP5kO0wg+PhVhbY8Vo04Ln/ykaD7753/mWo/EoNPEIyeF2cjOISc895zQ2N68GYaGcI6cYY3HwsnpCzviVjdynliwPsLQasV5kUmsmIj74KiYMLg4XkFLfLng86GZnua/3n0Vn9CcFve1sqt7jWja9BmkqsQdTWaYCCVYPzsq0uT1mCQtNZRZ7m7ErUCSpBdJknSF8vM2SZI+KEnSq9t/aO1D2umEqSk299o5Nxfj7icb8w2uBVGlOc1qaOCkNxrzGuftNhrxR1M4UzF09ShHOZ24AoIEO2mne3wqwga1vv3znxeaah55hAFlLGy914pdr4H//m+49FIwm4VT0+goXptxxZlktBp5nfJ4qP4UrduNJxlZMeNg05EkBjmL29BBcYzPJ5TWQEilKqZDLYPiSubTZKoS9+kZsXldP3Kss9PkIFLl0WCXuAEkSfoE8C/AHZIk3Q78H8AKfFSSpL9aguNrC1JuN0xO8vJtYgf7oe8daJsNYUyR2LQ04lctSVhMeiRZbntz2mQoIcZhXHWoMzmdOAPCXauTLpjxQJxVbouItMfH4V3vEqm+hx/mdy8d5uJhJ3941Rr4yEdExP3hD4tfHByEsTH6HEbR4LaAMMULHfmeB01WpG7rgcsl3K06aDO3EOYiKTzpOFI7G9Pqhc8H0+LaYmpKRNutTOMrDXA+OclUuPL4ozpxs/708/nZ746F04kzHCCSzJC+ACZCFtti3gxcA1wPvBe4SZblTwE3Am9q87G1DSmPB1Iptlnhq2+7HKCiV3MrEI2Ji8LWCHEDks2GTc4QbjNxn5gMs2H6XH3RlcOBOyJqwZ3SQRxLZYimsvjsRjh1Sty5Ywfs3g1PPsnvXbmae//kWt5+zTr43vfgiivg1lvF8wYHIR7nmiErE6FEXmXtQsS4Ivvar29gEXS7cUf8RJIZUkug+NcsRgNx+hKh9naU1wuvdz5xtxIKcfemIlWDlvNz4vxfc/JQwTe8U+Fw4AqKDMWFMBK2GHFnZFnOyrIcA07KshwCkGU5Do1IgXUG0krnK5OTXLNR1O9OtammGYuKBbChiBvAbseeTRKKt4+4g/E0p2Zj7Jo4Xh9xd6DU4ExYbCB8diOcOCHu3LBBNNZMFLy5mZ0VzkxvelMhklEWp4sksWCdWCJJ3E7ERDCBRs7hMzVQ4nG7cYfUEkpnbOiqQZZlnh8LsS1wvn3iK41AjbhluT3EbbeDwYAvHiSaylbM6E2EEriMWsyZZMEIpVPhdOaJu5Oyf+3CYsSdkiRJnY+4TL1TkiQnK5i4U4o7DuPjmPRaPFZD1XRRs4jGxG7WYq4z3ajCZmv7mINqqrEmMF53xJ3Xpe6Qi2U6It6LTy8LeUmdDrZvh/5+kTZX8dxz4nbHjsJ9CnFvjAnS+da+s0tyzJ2IQDyFM5NA66pB/rYcbjduv7Cw7DRxnnKMBsS1tW3ydGdF3D4fJJOi3NMO4pYk8PnoCQtp4Er9CJOhJP3qstXpEbfTiTNem9HIiD/G1bf/iqMT7Z0oaicWI+7rlWgbYKckSX8iSdKfABuBt7X30NqH+MCA+EGJyHxFilqtRiyewpROoDU3aMlnt+NKRdsqKzrXaAex04lTibiDHRJZqWk/713fgscfF4IXZjMMDMDcnFgMAQ6JkTC2bSv8srI4OafHGXCaeODodF7T/EJDOJHBnorX1/OgwuVaMdaeqvTtttGjnUfcIKLudhC38jccgepR6mQoQa+k3L8SiFtdi6q8l1d84Tdc/7n7+csfPMdYMME3Hjm91EfZMixI3LIsJwEkSXo/cCfQq/z7BrC3zcfWNiT6+kTDzZEjAKzymPMdlK1GJJ7Cmko0Luxgs7V9zEFdXN3xcN0RtzGbwaLtnMhqOqKkyn/+YzHi9c1vigf6+8XtlIgEOXFCEHpxClDd0I2N8bmbhZb0dx8/txSH3XEIJzLYk9G8oEpdcLtx+QUh+Du8s/zQeAhJgq1nD3VWqlzdQB89CqlUe+RGfT6cc+J6CCXmX79jgQT9aWVd7HTiLrL2DFZYix49OcuxyQjn5mI8eEz0DoTaPKnTTtQ6//AO4EpZlj8uy/LHgT3Au9p3WG2GVisWdYW4N/XZOT0TbYuIiD+WEnXgRonbbscVC1WsIT90fJqrbv8Vz402FxWqr+1K1EncitiGSyt3TI17OpxEI0HP04/DW94ixmigQNxquvz4cVH71hRdAlareE9jY1y3ycf1m318e985fvbcBBcaIokM9li4sYjb7cadEJFsp2zoquHweIh1bjOWRBTUElonQI24n3hC3LZDbtTnwzElrofyhq7pcJKZSJKL4tOi3NRK8Zd2wOnMl+0qBTmHx0MYdJoSG9+lsnVuB2olbgkodp/IKvetXGzcmO86dlv0ZNskIjIXzwijhmYi7oi/Yt3mB0+NMh5McOu/P1pxl1kr1BPdmYjUHXEDOKRMxziETYeTeIxatLksrF9feECNptUGtRMnKs+mKrPcAG+/WohU/OUPDrbzkDsSoXgKW7xB4i4yGun4VPl4iK0upXG0k4hbTY3v2ydu165t/d/wenFOCA2L8uZX1dp2eG5cXDuaDppxrwSnE0dSZAcqBRGHxkNs7rPR5yiULM/PxTpK8bEe1PptfB14TJKkT0qS9ElgH/DVth3VUmD9ekHcsozLLAT/25GO9idzwtO4iYjbGfaTyuTmWZA+dlo0lsRSWX57cqbhYwzG0+jlHGaTYWHzg3IoEbcjl+kY5bTpcBKvTumbLF7s1Ih7YkJ06p4+LTZv5RgYyEflN2zp4zU7B5iLpjg3e2GNhoXjKRzJWMMRtymTwqzt7FR5OJHm/FycbRblfGmlFnizWLVKaA/cd5/4f7si7lmhFleeKs+bDk2NdX6aHMDpRJ/LYtPIVSPurf0O3njpEJesdvGmy1cRTWU7PiNUDTURtyzL/wTcBswp/26TZfmf23lgbcf69cJ8YmICp0XsuNuh9BRMySIFbTY39gI2G46ISIWHlYsrlsrw5i8/ymggzvtfugmDVsOffvfp/NxlvQgl0jhzKaR6Fy6lmceaTXUMcc9EkviyyoRAMXGrNcLxcUHeiURpRK5icLCk+/yd14kF84kzc2064s5EszVuEE5znbwwqv0L2zSKE1wnEbdOJzaWmYzYPDWygVoMPh+2VByJ+UHL/yjlIff4uZVB3Er2zyll53lyP3JyhplIiq0DDl67a5Af/PE1vGybWA/OrlAzoZrzH7IsPyXL8r8o/55u50EtCdRF++RJNirymO0YDwhlwZGINhVx2xWHMFWE5eu/PcO+U3O88dIhbr1iFe976UayOZnrPnd/Q1mDYDyNIx2vf+HS6cBqxZpJEE3W4ePdRvhjKXoSIXFsxQuOXi/qdOPjBWGWSlGMop6GkkK7eNjFKo+Znx4cn//cFyhkWSaSygnibjBVDsIhrJNT5fc+M4YkwVUohjKdlCqHwsSDmi1qNXw+NMg4DZp56WV1RHTd8QMrg7iV7J+T9Lx6/ZNnhKf5y7YWGvwu6hNBx0odCevwwkUboRL3qVOs9ljQSHC+xR7M6WyOWE4StZcmatx2pXYTVrogf31kiktWu/inW3cz5DLzJzds4ubLhHNPI1F3KJ4Wx9hIxOF0Yk/FOybi9kdTuEJzItWoK3M627wZnnwSjh0T/6+WKk+lhNUnoNFIXDzs4lSbpg46EdFUlhyIDWODqXIAN6mOJe5YKsPzYyHed8MmTH5FNbHTiPu97xW37Yi2If899ejlvLWpijMzUV611Yd2bm5lELfVClotzlxq3ibk9GyUfoeJ1T2FNXjIbUYjwUiL1/ylwoVL3GvWCBGCU6fQazV4bUa+81hrBTdUonUkIk1F3KpD2GxEXFzT4SSrPaWv97ar1gKillMvgvE0znp9l1U4HFgT0YZMUGRZ5ou/PM69z4zy1YdP8+0mBU8y2RyhREaMuFRq5rnpJti/H37yE1HLrxZxg4i6FQw4TYwF4heMdrlakmk44laJO5Po2Bq3qrA37DbD5KRYCzqtc/olL4GvfW1x/+5GoXy3PZosM8oY5WwkyV98/1lOzURZZ1Rq/yuBuCVJCEKl4yWNvJOhBPc8NSosfoug1Uh4bca2CW+1G3WYL7/AYDQKGczjxwG4dLWbnz0/wXQ4KeQyWwA1ZeNIRhuvcdvtXDR9BptO4ufPT5DNyZybi3Hj9tK5zq0Ddjb12vj2vrPccnl9hgDBeJq1kQAMNRZx2+IR4uks2ZyMVlP7sMEvD0/xhV8eK7nvlTv68doa+/zVuUz35Ehl4t67V9zefbdQTCuPyKFklltVVdsx5CSZyXFwNMjFq9oU/XQQ1E2YLRVvrMZtNILRiDsd69ga97OjIj0+5DKL8klfX+XzYblx223te23lu/XKKY4qQcFf//dz+fr2lToly9TpcqcqHA6cyWhJufD2nx4G4HW7528+eh3tE95qNy7ciBvgkktE6hR461Vi9Of4ZOtqHmqnpiMVFzXWRmCz4UxG2eOW2H/Wz5cfFPXZN11RSs46rYarNvRwarr+efRQPI0zPNdYqtzhwBYTUX40VV/U/cx5/7z7mqk5qWlZ1+RoZeLevr3w89atlV9EjS6KGtR2DQuyPjoZ5sFj0x0bRbYK6gao4YgbwOnEnYgQSqTJdKBb03OjIXQaiRet84hNmrphu5CgfLfebJyZSIpcTuZXh6fYs97DJ39nG9dHxVhkW0bR2gGnU4hVxdL5NfCZ8wFes3OAt7xo9byn99pNTIW6xL3ycOWVQpno8cdZ7xOplJMtrGWqOz+7lG3ckk/p3N5syHBqOsr+s35uuWyYjb3z5RlXeyyEk5m6xFBkWRbEXe8MtwqHA5vS9V5vunwsUEhTGXXiVGyGuPNCMvFQZRtCi6VAzKvnX8hAacStYJXbjF4r8Z+PnOEPv/Y4f6fs4l+oUFPljkwTin9OJ+5YEFnuTNOH8WCcfqcJnVYjNmkXInE7HCBJ9KRElDoRSpDK5njVjgHefs06pDOKJGi1a6XT4HTiiQZIZXOEkxlkWWY8mGDQVVluus9hZCK0MlPlFzZxv+MdYiH/wAfod5iwGrQN1YirQR0v66GJCM0mOt7f4wzzxTfv5p/ftJuPvPKiik9V697n6mhQiyQzZGUlnd9Ijc9uxxYWkXO4TuI+NBbKp9Z3r3LRYzU0SdxKxJ2IVH8vhw/DP/8z/M3fVH7cYhEdqooIC4hsxpoeK88rutaPnprltydmOpKQWgH1e7QbtI1vOB0O3FHV8rXzPqfnx0L5aZILlrg1GnA68cbExltVYBxwKkR35oxYH+v1Y18uOJ0M+kWafywQZ8QfJ5nJsc5rq/j0Tb125qIpplYgeV/YxN3XB297Gzz+OFIqxfZBJ9957Nw8oZNGoaZhfHITxK1E3M5YiNfvHuKmS4botVfeQapdk8fqSPc3rJqmwuHAo+gd1zMHf3omytHJMB+58SLe8qLV/M1rt7G5z86RicY3TipBuOOh6u/F4YD3vz8/PlIR69cXLEEV/P6Vq3GYRA10xB/n9//jMT5x73MNH2snI0/cljrEeMrhdOIOdqa159nZKCemIly70QvZrNCvXwkNWO2Ay0VPRGgUqMQ96FL6cUZHRR/QSoHDwdZxcd0+cmKWXx8R69Jlayr3aajyp8+3MFhbKlzYxA1C9jKTgfFxXqE0fH3oe8/kJf+awXQkiTGXwaFvQh1WibiJLK6rq0bcH/n+syQztW0+VKnDpoi7ASeoZ0dENHb9Jh+3v3EnO4ac7Bx2cngiXNEbuBbkI+54uLnRnm3bRGRehNuuWcezn7yRY59+FXf/0VVcu9HLY6fnXpCd5vmucksTkZbTiTsgzBzaIWzUDNSM1M4hpyDtXO7CjLgB3G68io/1c0pGqV+NuKem2mNu0i44nWwcPc6Qy8zf/vgQn/jh8ww4TVzUX9n1batC3Pc8NUookearD5/uuHO1GrrEXdSM9Ad71uAw6fjpwQmu/LtfNa1jOxVK0JuJIjVaJwQxnwgQXjyKthh0/NnLNgEf32zwAAAgAElEQVTw8+cna3p5NeJ2JBpPlXuUlGg9J/2p6SiSRL63AOC6TV5SmRxPnp3ftFYLpsNJdMhi/rgZFaxt2+DcOQjN34kbdBouW+PhtbsGGA8mXpDz3ZFkBkmWsdibOG+dTtyKnGanGNCoOD8nxisHXWY4eVLcuVIasFoNlwvvnPieDo4GMWg19FiVTMvkZHvsRNsFpxOCQd5wSSF7ctMl1TviHSY9W/rt/OjAGF/4xTE+9eNDfPonh5biSJtGl7iL5nZNei0//tPr8g8daVJVZzqSxJdsYoYbRB3Kaq2JuAHed8MmhlxmfnxgbPEnU9T53qgAi8ORd+Wpp9v6zGyUQacZk16bv0+tOZ73NybdenQyzEYpjga5sTEmFS96kbh99NGqT9k6IHbrJ1aww1A1hBMZbJkEmmaEPxwO3NPiHJzrsFT5kYkQdqNOzHCrYjwXVe4becHD7aZnWvRzTIeTDHvMSJIkshDT0ysu4iad5kPXrea+D1zPfR+4nj+/ceHv9Qtv2g0INUpgxXgSdIlbTZEp4z+reyzc94HrAXjXN/c39dL+aBpPMtL4DLcKu72mVDkIpa8XrfPw9PlATRmDfD1TTje2wXA4MOQy2PWauhboMzNR1npL/16f3YRBq6mrua4Yc9EU/ZmouICbmcnds0f8/ne+U/UpG5RNxsnpFx5xhxJpYTDSzObH6cTin8GglTpOPW0sEGfYYxEEdfSoEONZs2a5D2t54HJhm5nErGygL1frwXNzov6/kiJuRa9cCofZ3Gdnc59dfMcAIyPwhS+Idf5rXxPiNskkWwcc/O6lhTr+mRWiXd4lbq9XLNJFc7ub++y85CIfI/44J6bCZBusYwbjaZzxJiNuEHXuGiNuEB3a0+Ekc4laiFupZ1pNjXUQK81zboO0aMSdSGf54zuf5NZ/f5QDI0Eu6nOUPK7RSAx7zI2bpcQVwmlWutJmE02L3/xmyXlR8hSjjn6HaUV7+lZDOJHBHo80J7XpdCLJMj6bgclgZ3XtToaS9KoiS0ePCulbrXbhX3qhwulECgbza9wVa5VrZ1Ipta20iBsgGJz/2BveAB/8oMiwvuMd8MADQkUR+NMbNvLHezdw6+XDzERSHddMWQld4tZohGn9ZGlN+N3XC6/ml/3Tg/xVg37MgVgKVzSQ3wk2jDoibiCv7nUmtLjwhTp7bXc0uLlQ3ptbm2N2EeI+PB7ipwcneFyxI716w/zUvNdqbLhBJJTI4Igt0FFeD/7oj8TtN79Z9Skbeq0vyIg7EkthTzRJ3Mp5scqma7kHQDOQZaE8OORWsmBHj164aXIQZBeN8uevECW26zf7xP3qhnUlNe0tRNxHj86/TymTrPVa+fNXbuENl4jI++nzgXYdYcvQJW4Q6aCpqZK79qz38K+/dymbem0cbyCqSmVyRFNZYXix0OhRLagWcf/iF/DhD4uUVhH6FbP4ULKGiDuZwZRNo/c0mBZVIu4ezeJOUKMBsYB/6S2X8H9+7xJu2DI/Dee06BtqZlKFZBzRYGvMInbvhssvh3/4h4pNagD9DjPTK1QycSFEYklsqQYNRlQo5/yAgZZMaLQKoXiGYDzNuh4rpNNi7G/LluU+rOWD8j29c6eH3370BvqUteMFR9ySVOhdUXH6dMl/1yjjtBMdliGqhC5xg0gHlUXckiTxml0DbB1wMBOpf3FWu7VdgZnmibtaxP2Wt8DnPz+vicql+ItHM7Wlyu3peOPHqEbcpPFHFybcUSXy2nuRj9fuGkRTQdfcadbPs+WrBfF0lkxOxuGfbk1dTquFO+6A2Vn44hcrPsVrMzATTTU9fdBpCMdT2FpQ4wbwaTJMh5Md8xmpzZgui16QdibTJW6YT3YrkbjVzGb5RjsYFPf9zu+U3l9G3B6lm362gfV+qdElbhAL/WTl8ak1PRbOzsZ4+lx9I0pBxczdkQg3b8tnt5dG3LIMH/uYIBWAV74SooWmCpNei0GnoZbANZTIYE/F8pFz3VAuFk82sWiK+9B4CIdJh91UXbe9125kOpIkXae+db7JbnqidaYIl18Or341fPnLFR/usRlIZXJ5n/QXCiKprIi4m9lwqsQtp0h20GekErfdpIfnnxd3KmYyFyQWIm6rtfF1YTlQ7b2oBH3RRYUy2qWXziNuk16L3aTLO6V1MrrEDcKofmJCEGIZ1DlAdVygVuQj7kSkNany4oj7kUfgs58VP7/lLYK0v/vdkl9xmvVE0rV1ldsT0cK8eL1Qm9PSceLp7IKqc789McO1mxaeFd/UZyOdlTlT53x03oktFmptQ81LXyo6UstKKUDexWx2BVzo9SCclkWTn62yVGRNUDZ03oxoNJzpkJJCvqfDpIMDB0QK9UKOuNWgIlBW1z11auV12lcj7qefFrfbt8OhQ/Dss7Brl5B0LYPPZmwow7rU6BI3CF/mZLJiB/EGn43rNnk5XSeRFAwvwq1JlRdH3PffL26ffRbuvBMuvhhuvx3ihSYgl1lPrCbiTgu/8EYXaZMJdDox9kZ19bRgPM1MJJV32qqGzX1iI1DvDH3JPHqzGY5iXHaZuH3qqXkP9eSJu/Mv9FqRyuRI5hCp8mamIdSIOyXOi8kOcWFSN9Q2o050Fl92WfNTHysZ1cju0KFSN72VADVVXv5e7r9fbOa3bBHZ1Z07xZo/NibW/SL02Az8+NlxRhrUklgqdIkbxDgIzNOnVrHOa+XMTH12mSpxO1sZcat//+GHxcm3c6eIGL7wBbFD/tzn8r/iNOuJ1kLc8TT2WLhx4lYM7N2KUUG1dLmqn765b+G/s14xBHj01Gxdh6FKtzpa8XkXQ7X/rNCVqipMrYQdeq2IJFUv7tYQ9+aEmCBQJW6XGyeUKYC1FmDfPpFRuZBRibjjcaEot23b8hxTo9BqReawvMZ9/LjYhGiK6G7dOrGenj1b8tRbLheugtf+/f383lf2tfuIG0aXuGFR4l7TYyWczNTlchSIt5C47XZxksViooP8kUfg2msLj7/kJfC618G//RukFL1ui55IDYcbjqeF73KjqXLl+HoWkT1VI+iL+hcejTMbtLgsev7nYOX56WooibhbSdw+n9jJqwpbxQ8ps8AroSZWKyLFXtzNSvVqNPRG5uhzGBuazGgHDo+HGXKZcT7zpGhMu/765T6k5UU5ccsyHDkibldaxA152dMS7NsnPCmKoVqVnj9fcvetl6/ic7+7i1ft6OeRk7NNuRW2E13iBlHLMRrnGUuo8NpEZFWPAlTJAtgskaidnefOibpcOAzXXFP6nPe8R9Rh77sPAKfZUFvEncwIbe8m65nukIisqn1GRxWZyUFnkbPZ5KTYcHz/+6JB6Ic/BOANlwzhj6Xz4jC1IFSsud5K4pYk2LxZ7NrL4LaoXagvHOIOJ5VUcjLeHHErmRiCQdb0WDtGSvLMTFRI6z7+uLjj6quX94CWG+XE/c53isYtECW4lYZy4v6P/xC35T4MRVLX5bj1ilV86qYdaDUSn/lpZU5YbnSJG0SKZds2OFhZaMVpFl3Q9cwXR5JpTFIOnZxrnkg2bxa3x47BL38pfr7hhtLnvPjF4lZpxHBbFk+VZ7I5Yulc8xG3w4FnESeooxNhLuovkiAE+PrX4Uc/gltuER2+H/4wUFBvUs0gakGolRulcmzaVJG4DToNTrN+2VPl/miqLp34hZDfcDabKof8Iuqzd07Dz1w0RY/NIEofg4Ot7YdYiTAYRJ9KMCjqvV/7WuGxTZuW77gaRTlx33GHuH3/+0ufVyZ1XQ6vzch1m7w8eGy6Y87dYnSJW8WOHfBcZX9llxJZ1SOFF0lmsKF0WDdLJKqy05EjIirduXP+fKXVKsagTp1SjllPMsuC9p5qPbPpiNtuxxGYQSNVNhqRZTlP3CVQnZlUjIyALDOk+AHX0yASSqQxSjlM2XR7iPvcuXmNLCCyMbPR5b2wX/ulh3nVFx9qyWupY3W2ZKx5jX2nE0IhfDZjxwjV+GMpPBaD2IipG+ILHSrZFZcKv/71xiSQlxsOR6HGHQqJptJPf3r+pInNJkqQFSJuFW+7ai1A3RMuS4EucavYsUMYx8/NzXvIbWkk4s4K4w69Xuxom4HLJepNH/0o/Pa3YgSsEoaHxXugsNkILnDM4eIotclUuTYUxGUxVDQaCcTShBIZ1vvK/kZ5w1c8DtPTwrWJgtJaLQjFMzhatVEqx6ZNwi3pZz8TesdFBN5jMy5rjfuh49OMBuJMhBJ8/N7nmhY6yW/myJQ28zSCoog7nMyQSNfmEd8uxFNZYqksbqtBZK+6xC3gcgniVknswQfh7W9f1kNqGMURt9p4pvYwlWNwcEHiXusVWch6J4qWAl3iVnH55eL2scfmPeQyN1LjTmPLpMSJ1Iqd6yc+IV7Hbod3v7vyc4aHRdRKQT1toYa6vBhFKtZ0cxqhEG6LvmKqXCVgNZLOo5i43/lOcXv2LB6rAZNew0gdGtehRBpHLi16FYzGut/CglAFOm66SXTw3313/iGvzbCs42Bf+nUhSvrmo2eZaFJeVBVKsbXCc0OpcfuUsbnljrrVlKdPysDMzIWtUV4MlexWolpaOYqJW8k+sm5d5ecuQtzDbjM6jdSRjmFd4lahEveBA/Mespt0aKT6Iu5oMos1k2hd9HfLLSJV/swz1U00iohbbZxaaLMRLJ41b1ZsIxymx2qs2KilEnAJcQcCopnu1a+G224TzXUAZ84gSRLDbkteIrUWhOJpHNkWft7FUMfuVDzwQP5H7zJG3IfHQzx+eo4/2LOau969B4CnzzU3dpWvcTfhippHUcQNyz82p/59b0QZNVy/fhmPpoNQTtz9/ct7PM1A2SwChb6UarX6gYEFiVuv1bDKY+HMTGc0VhajS9wqHA5BfKoMYhE0GgmHWZ+PUGtBOJnBlmpCA7wSNm9eeLEZGhId56FQvqFuId1vfyuJOxLBZzdUNJTIR9zuIuJWo+33vEc0xKgXl6JmNOQyMxKop8adwdGM5vpC0Grhfe8TG6YdO+ArX4E3vxkiEVwWA8F4umHr12bwwwNi0Xnl9gEuW+PGrNfy5Nn6pHnLEU6k0ck5TIYWMLdS4/Z2TMQtNlg9wRlxx6pVy3g0HQS3G/x+Qdw2W3NrwXLD4xFjs5GIKId4vdU199euFeNg6epr5CqPhfMdKMbSNuKWJGmVJEn3S5J0SJKk5yVJer9yv0eSpF9IknRcuW3CyaDF2L69II9XBrtJl68J14JoUpESXcqu1WHFEH50VEg6woLHrEbj7kS4+VQ5MGzVMhZIkCsjsbFAHJNek+8VAApz0Wq60ukUn5VSlxp2m3luNFSzZrmYR29SX3shfOELYnztz/5M/P+uu+BLX8pvkOoZXWsVJkMJhlxmrt3kRafVMOw2881HzzT1mpFkBls2hdQKNTE14rapQjXLOzanljS8M0pkqV4vFzp6eoTvwcTEyk6TA+wRmSd+85vFGxC3bBGz/OVNskUYdpvrKtktFdoZcWeAD8myvA3YA7xXkqRtwEeBX8myvAn4lfL/zsCrXy0i7grz3A5Tfa5VoUQaW6wFcqf1QK3l/OxnOBQjj4WyBGqXvCseaoku9bARUtkc02Up0VF/nCGXuXQU7OhREckW15/Wrs1H3Ks9gjgePj5T0yEE42mc8XDz3ufVIEnieN/xjoJow+OP54k72ICjWbMYC8TpcxTq+Rt7hc57PdMP5QiqJYdWELfDAek0PTqx+VruiFv1i+8ZPyeaRn2+ZT2ejoHHI5pyx8ZWdpochL6FxSLGTA8dWnikTVVFPHKk6lOGXGbmoiliqc4wyVHRNuKWZXlcluWnlJ/DwGFgCHg98J/K0/4TuKldx1A3br1VdNLeeee8h5xmff7CXwzZnEwwnsYdboEXdz244gqhEPSVr2A36ZBYeBbaH0tjIYsxm2lu9Eclbq04uc+WiW2cnI6wzlu2MThxQhC1wVC4b+3afMT95iuEstGnfnKIj91zkE/c+xz7qsigZnIys9EUvvBc+4i7GMPD8KpXwdmzy0bcqUyOIxNhNhR16r/1KmEKcd/zlZ3uasFEMEFfItwa4lbOfX00gtuy/PPuoXgao06DaeSc+A6b7Zp/ocDjEVMThw+v/IjbZIKXvQz+/d9FD80b31j9uWq27/BhMQpcZtQE5Cdcyte05UYrWlAWhSRJa4FLgMeAPlmW1an3CaCilZMkSe8G3g3Q19fHA0UNQc0iEolUfb1dl16K5zOf4VmbjTk17QLYMkkeH8nw6/vvR7NIl3goKSPL4JqbYMSs4UQLj30xrL7hBtZ/5Ss89qMfssau4+FDZ3nAPt/ZCuDIqSS2TJysycRDDz7Y8N/0nD7NLoCj+4FV3P3Ak8TOCkLL5mROTcfYZE2WfOaXHjhAxuXi2aL7Nmq19J88ycP33w+SxDWDOn47FuXUtOjqvGf/Wf7lBktp5A6M+6OAhHtmjAlzjCNL8Hlv1unwnTzJqSNi9v/BfU8y521FK3Z1FJ+3x/1ZArE0vux0/j5Zlum1SHz3oefpjVZP/y2EM5MxdodmmInHea7Jz7F3dJRtwGP33YdZ08Oh0yM88MDiGZSFrs9mcPhUEpNWJvDcc2C388wSXpeV0K73WS/6pqbYCjAzwzmtllMtPqalfp+Wm25i90MPEdqyhefs9pJm0nJc2d9P8q67sH3mM+iiUX5rNpMuKm/GoyJb9P9++RgvXlXdjhiW9n22nbglSbIBdwN/JstyqHjRlWVZliSpYlePLMtfBr4McPnll8t79+5t2TE98MADVH29f/kXuPpqdn3960LJSyc+ohPaU9x39jCX7bk2H2VVw4mpCNz/G3qCswy/Yi/DLTz2RaHXw1e+wjWyjNusI66xsHdvZT3mr558jAGm0Tqd1T+PWqB8Ri/ZsgGXX0bv7mfv3p0AnJ2Nkr3vAfZetpW9lxc1A83OwnXXlf7dZ56Bu+9m765d0NPD3r1ihnIumuSpswE+89PDXHrltTgtpZ//1+79FZBgKDxD/66t9C/F5/3oo/CjH/GSS3Zy++NPsHbzVvbuGmzrnyw+byefOAePHeRNL7+KNT2F/oStpx9nLppi795rq7zKwkg9eB++dAzvqlXNnROQd7S7cssW1iaypDI59u5dXGJ0weuzCdw18iS+VARXNAqXXdaWv1EP2vU+60aR8+DqF7+Y1S0+piV/n3v3wpvfjFevZ69uEYr74Acx//mf5/97TTgsxj4VpDI5PvrQ/+AZXMvevQsryS3l+2xrrkiSJD2CtO+UZfke5e5JSZIGlMcHgMrh4HLhqqvgBz8QzVN33ZW/O18zriElWqJItpSpchBjbSYTPPggZp20YHPaeDDBQCrSXGMaFNLToRCr3BaxcVFwfFL8vN5b9DciEZienj9fuXatuC3yyV3ntXLZGg+rlJr3ien5ov/BpNj79c6MLU2qHPImBc45kZauZ1SwFTg1HcWg1TDsLk1pDzhNDc9yy7JMKJHBGQu1NFVOMIjXZpzX+7DUCCXSYtM9NdVaz/aVjuLP4oUyImc25wOKBfFnfwYvf3nh/2WiUAadBrtRV1FYajnRzq5yCfgqcFiW5X8qeuiHwNuUn98G3NuuY2gYr3udWJh/8IP8XQ6zOAlqGQmLKsRtbfU4WC0wGoVJ/MGDmHXVu51lWWY8EGcgEWh+/EPpKicU4oq1Hp46F8iPR/3i0CQGrYbN/YrD2cc+BjffLJ5fTtxFXfHleNE6oV/++On5406BhELcgenCsbQbyrE6ZyaApa9xn5yOstZrQaspLRv0O03MRJKkMrV14xcjksyQzck4I4Hm5U6hhLh9diMzNTanybK8oALcYo9XQzCexmHQCCnMbmNaAWqTFlx4ojR6PfzP/8ATT4hNSwWHSJdV3zIvgFahnRH3NcBbgRskSXpG+fdq4LPAyyVJOg68TPl/Z0GjgSuvhF//GqKivurIz0Uv3l2Y13tOLUPEDULi7+RJfGYNoUSGsQrSoaFEhmgqy2B0rnniVqPccJhNfTZSmRy/OCQi0WNTYS5b4xYZi4cfhs9+Fn7+c/H88t39Ao49HqsBr83Iqen59pCBpIwE9MQCSxdxK8RtGh/FoNPUNXHQLGRZ5shEKO9dXow1PRZkGR47XZ+fORQ2H86wv/ksDBSEgmZn8dqMRFPZRbtzM9kcH3sozvv+65mqz3nTl/dxy/99tO7DCcbTODXKhqZL3AUUb3YvxNl2rVZkKjdtqkjcHouBuSXOqC2GdnaVPyzLsiTL8i5Zlncr/34qy/KsLMsvlWV5kyzLL5Nleb44eCfg2muFKMGGDTA2VtN4lQo14m65AEut6O+H6WlWO8TXW6kjcjwoyLw/PNv8Il0Ucb90ay8A39t/nmA8zcGRILuGlc/gv/6r9Pd27iz9f1+f2DRViLgBNvisnKxA3P6kTI9Ziz6XXTriHhoSt6OjOM36JY24z83FGPHHuWaTd95jezeLz//weKju180Td6RFxN0rjoXJyYJ6WnjhyOW5sRATMZkfHaisaDUVSvD46Tn2n/UvaKBTCcFYGmc2VXpsXQjceSd873sr01ikVdiwQRB3WTbHbTU0NWLZDnTnIarhj/8Y/vVfhejGd75TkxKZishypspBRDrRKE5JHEcl/fDxgKiDDgYmmo+4DQaRog+F6LWbeO2uAQ6OBvnpwXEyOZkr14s0N0eOiDQ+iFJEeTpWqxWbjioyhBt6bZycjs5Lk05Gc6yzKh3dS5UqN5mEKtPICC6zvi4d+2bxg6fFxmZrudsaYpFxmHR1WaKqCOY9zVvQ9wDivHC5YHIy72k/HVm4/v63PyooF1by8P5hEaF//L/nqxxWQy4nE05mcGSUz6UbcZfi936vUMK6ULFxo5BLLTOa8lgMFaWclxNd4q4GnU6Q95Yt8O1v5yPuWiIrlbhty9GcBnnTeHdCRF1zFWwnVWnSvrmJ1izSil45wIs3+5gKJ/nHn4tGj92rFHG806eFZOgjj8BPflL5dYaGqkbc671WgvH0vI3IeDTHepNcOI6lgqIN77VV1mhvF9TxuB1Dlc+tVR4L5+bqnztVN6XORKQ1zWkgsihTU/mIeyERlv1n5niqSGv9+0+N5H/O5WTufnKEnx4s+Cfftf88UzU24oWTGWRZeW/QJe4u5kN1EStLl/crDZ/LIWtcDV3iXgx79sCBA9hOChJSSXkhRJIZdMgYs+mllTxVodQW3VEhtl9JOEZdQH0z463RJlYcwgAuXuXK/93rN/vwWA1CWvDcOdGQdtVVBcetcizg2LOhVxznqSKbvcPjIUIp2KxPFY5jqaASt924pOIiY4E4e9Z7MOkrz40Pu80V+xoWQ7CYuFuxmQNB3JOT9FgFcc9FK29809kct33jCQDeu1s897cnCjPfvzk2zYe+d4CnzgV4/e5Bvvjm3QDc8Zva5tXVTYkjppQQuqnyLsqhNssWTbWA8FjI5mSmws0577USXeJeDB/6EADap57EatDm3ZMWQjSZwSZlkWBpiUSFEnGbQ0Gc5spWmzORJA6TDmOoBV3lUGJgv7mv8J7/vxcrDWjnz0M2W91iT8XgYPUat9KMdbJo3OzgiNicvMQYLRzHUiEfcRtaLuc5E0lWtQudjiTptVf3ePfajDWr/BWjncRdsJmtfFzfevQs4USGT920gyv6ddxy2XBJI+IhpWb/6Mdu4Au37ub1u4fY0m/nqRpNVfJlgLBfZNOWY0PdRWdDVY2bmCi5W7WlXaw/YynRJe7FoBLN2Bi2Go1GIskMVjkrGj1aMVZTL5SIWx8K0WM1VI64I0mRvozHW54qB/jyWy/juk1erlyndBar6aeFtINBpMrn5iAxf3c75DZj0GlKGtRG/DEkYFVCSbEu5UZpaAhmZvCatERTWeKp+pqlFsLln/4ll336lxUfm4ukRBajCnpsRvyxFJkaDVpUBONptJLSVNmqVHlvL0xOYtJrMeu1VcdqfqKkwF+6RUTC/U4TgXg6388w4o/jsRoYcJrRKCNwN27v58BIsCYd6XwZIDAjNrYXchNWF5Xh8YhenYMHS+72dogtbTG6xL0YrFZBBpOT2Iy62lLliQy2XFpEssuxQCg2drpIBLfVUHGxnAmn8FkUgYIWp8oBXrG9n2+948rCnLFK3Bs2LPw6C4yEaTUS671WvvLQ6XwqeMQfx2OS0IeVv72UEbdSJ/VJghRadWEv1C2dzGQJJzP0LEDcPpsBWaZu0YhgPI1Dh8gUtTLiDgQglcJt0eetZItxz1MjPHnWz+t3DzKoeLbbjDpkGWLKZmg0EM/rRqtY7xPHqIr8LIR8NmF2spsm76IyJEmURr/6VdHfpIwCqxH3cgsIFaNL3LWgvx8mJrCbavPkjqYy2LLJ1i1+9aKIuD1WQ8VU+XQkideofP0tTpVXxMmTIvuwmImBqp52+nTFh6/eIMoA33xUmJGM+ON4zZKI9iVpaT9zJbPhS4tGsFZd2N/bX2jKipZtFFWFNo9t4YgbqLthLhjP4NQqDTitJG6AqSlclvljNTORJB/8fwcAuGKtJ3+/3aTapYr3P+qPMeQqJe4968Xn/9Dx6UUPI6AS99RYtzGti+q44w547WvF7b/9G0DeT74bca805Im79ojbmkkunyG92Qx6PbpIpHqqPJzEp0p+tyFVPg8nTgjBlcUcmap0dqr4+O9sY7XHwsMnpgkl0oz4Y3jNihqW3b60GQ6FuL1JEfHVqgy2GO47VHD3KpcvnQiK/y8UcTe60JQIlLSauCcncVvnj80dGhObva/fdgV/sGdN/n6b4icfiKfI5WROTkfnEXefw4TXZqjJuWk8EEcjQe/o6S5xd1EdW7cKS9ArrhBz7YDZoMVq0HZr3CsOfX0wMSFS5TXUuMPJDPZUfPmIW5LA5cpH3P5oqmT2OZ7KEklm8GqVlGwbUuXzcOJEgZQXwtCQqDMtYG5/2Ro3z42G+Mt7DjIRStvCDswAACAASURBVBQi7qVMk0O+wcmbUoi7BSNh5+diPHisEEGqRK1CHYcadFXvnehRovG6I+5YCgfK+d3KGjfkO8vLP6P/VmbSN5SpwO0YFN/l/jN+fn1E2Bn0O+c35G0fdPJgDRH3eDBBr92EfqqbKu+iBrzmNbB/v5jrhiWfHFkMXeKuBR4PBALYa2xOC8XTOJMt7MxtBG43+nAYj9VAJieXSLWqJ6Bam21ZxJ1IQLpCKSGXg1OnaiNujaaqZrCKv//dXfjsRh48Nk1ORhC3GnEvJZSNQk9cbFhacWH/8rCItj9yo9CMfuh4qQ1mSDn/dlaZ4YbGI+7ZaAqvrBBrG1LlqgFK8SZyJpqi125kdU/pRmFtjxWDTsNPnh3nqw+LsskbLhma9/IvWudhMpRctDEwnMjgNGm7OuVd1IbrrxcKag8/DIhrqkvcKw0uFwQCOBWFrMUMEAKxNK54ePkibshH3N4KjRVT6gy3rNzXqho3VI66x8dF9/pijWkqFK31ajDoNPyva9YRSmQw6TWsdWqXJ+JWNgqGSAiXRd+SkTCVqG9VLFDLpUunwwm29NvneZIXw2HSYdBp6j6e2UiKnpzyO21Ilfc7TaQyuXyDmizLHBkPcdWGnnm/ptFImPVaDo4GefSU0F1Xa/fFGHSJKHwsuPDceiSZwaZRrtsucXexGPbsEcp/itGUz2bMr5udgC5x1wKXC5JJ+sw6kpncgupp0VSWTE7GGQ0ub8StEHefQyxsk0W10mlFSMCXVe5rBXErs+NMV0hbnjolbmu1DNywQRD3AhukP9q7gdO3v5rDf/tKVtk1yxpxEwq1bEd+dCLMTbsH8dmNvHRL77zFYjqczKuQ5TE7KwRuFEiSRJ/DWJe9ZyyVIZ7O0pOJiVKLqfqceF2wWsW/yUkGlFT3sUnRCzEbTTEVTnLxcOWZ6rdfvTbfU/LpmyoL9gy5RKT+3GhwwcMIJzPYUKLybqq8i8VgNgsZ2LvugmyWfqeJyWBXgGVlQall9mnFIjIZqr5AqzaazkiLhE0aRZ64xSJfTNzjygk4mFbGaFppKDFVwV5dHe1SbTsXw8aNYhRjcnLBp0mSVIg8Q6Glj7iNRmELGArhtRmaJu5EOstoIJ6vX/c6THlJz3gqy2/Opzk3FysVXzlxQvQFXH01pAr14z67iakFztNyqG5uPcmoqG+3sslPmeXe4BPXg1rXVuv3atRcjqGi8a9qc+vrFJ/3Xx2ucN4VIZJIixFNEKWvLrpYDFdeCZEITEzQ6zASTmZq0gxYCnSJuxYoxN2TEwtNpfEqFXlLz3Bg2WvcukgEl0UseMVZgvFgAqNOgzuudIG3YoNRlBKdh3FFX3qxUTAVakp9gTr3PITDSx9xS1K+m15E3M01p31v/3kANirSri6LcB2TZZlv7zvL159P4Y+l2VJsLvKZz0AyKfyEv/GN/N21TkCAcM16v2Kj6U2GW3/eKuppm/rsbOm3c0JRvlPV0FZ7Kv+9q9YXUugqQZfDZzcy5DIvuqBGk1lsOeX7WQ7/gC5WHtRAY3QUj7KOBjrE3rNL3LVAIW53SoydLOQEVSBuf0dE3A6j0LMubk4bDyYYcJqQYopM6FIQt9GYny9fFJs3i9sjR2r/+8sRcUN+ft1nNzY9DnZ0MozFoM03YTnNejI5mXg6y+HxEFY9PPU3L+ed1ylqfmfPwre+Be9/v9B+/+Y3869lrVEsCOBEkRKdN9oiS89iKEYjAJv67PnxxGMTYUx6DVsHKm+4VnksPP+/b+TgJ1/B1oHq3+06r3XBzTQoNe6M8v10ibuLWqBa946MLCrZu9ToEnctUAinJ1GozVWDuljaOyBVrkmn0aVT2Iw6AvHCMU8E42K0JqIs2K2QZfV6RUd4JeIeGxOz8LWmX9euFena52u0bZTl5WlOg/wYnNcmUmmJdOOyp7ORFIMucz79r1rJPjsS5PBEmF6LBo/VUCgP/PSnQv/9ve+F178e9u3Lz9JXirhlWa4YmRY7bPX4p2rfYNUKJeIGMX9+eiZKOiua1DwWw4KNdlajLi/GUg3uKiJDKnI5WcgQp5X32SXuLmpBUcSdz1x2I+4VBCXidiluW9X0loH8nLc9GVv2VDkAfj8X9dt5ssiMYSyQYMBpFnVkq3VxUZRaoNUK8q4WcdeaJgdxPFu31kzcmmRSENhyGLqoEbdtcdvKxXBqOpp/HSAfZb75y/s4PB7CZSwjuN/8RiwuGzfCS14iPoOHHgLAapivOfB/f3OKbR//+Tz1su8/WVBq65kZbz1x9/bCzAxks/kxtg9/7wCBWCq/IDYDj6WykY6KaEq9JpfBiKaLlQuvV3SWl0TcXeJeOVCI2xASs9wL17jFF2tLxpY94gYgEODiYRfHJyPkcjK5nMxkSKTKibR41rwosirB+HhBg7xW7NhRM3FrY4py1jKmyr12QUCNNqiFEmmOToa5dpM3f9/uVS6+cdsV+f+/ZUsZyR06BJdcIjIZV18tGuUU4raZdMTT2RIP4e89KWroZ8qUxuLpLEadhv9+7zWYZqfbE3HncjAzw+t3D+Ky6Dk6EWYynJjfId8APFYjoUSGdBVTFbUu6YxHxDWp0zX9N7u4ACBJIl0+MoJbrXHHu6nylYMiEux3mDg/V11iUU1P2pY74i465vU+K/F0lolQgplokkxOFsStRtytQlEtswT1RtwA27eLFLtfyRQsMBqmiy5jJKU0p6md4LXIb1bC6WnxHtTOaxV7L+rldy4e5KVbeum1FF2usixG5lRRG7MZtm2DZ0STmc0oyEk9H/3RFKeUv6H6XIcTaa757K955OQsL9vWx+5VLvF5t4O4Aaam0Gk13HzpMEcnw5ycirK2p3mFtn6nIP8Rf+VZbtVH2Red66bJu6gPg4MwPp4vW3Wb01YSTCbRXOX3s33QwZGJ6prcanOaNZ1Y3oi7KFW+XunIPT0TZTwgFrF+p1ks0q30Ja4UcScS4u80Qtwgou53vANuvrnqU/WqRnqrCacWKBH3Rp8Ng04zTzClVhwYEbakO4fnE8uX3nIJX337FaV3TkxALFYqanPxxfOIWzUpeez0XP5pqhb6D54eZTQQ513XreNPb1A2AO0kbuXcWOezIssi0r9xe3/TL799UHxm1T57tXzRG5zpEncX9cHng+lpTHpFr7xD1NO6xF0r7HYIhxlym5kMJUpSkMUIJzLYdKCVcx2TKl+vRHHPnA8wqthhDjhNQrijZ75qVcNQ5nVLUO8omIodiuDGddfB174G99wDjz9e8ak6lbiXYz5XaU7TaTUMucwlXuEqYqkMk2VSn+U4PC46ygcr6HFXhDoqVywju3u3IPSJCaxlEfeIX2QCXrm9P2+J+vDxGVwWPX/1mm1s6XcIdbtksj01bsifG+uLdMn3rG/+/FPNR9T3VQ5VxKbXP9kl7i7qg0LcIPTK69X/bxe6xF0r7HaIROh3msnkZGar7LwiyTQ29VPtkFR5n8OI06znH35+lM/85DCgLHatJu6+PhEFRorIq1HiXrUKXv7y0vvuvrviU3WqzOpyELfDId5zJsM6r5VfHp7iVBl5v+zzv+HKv/sVdz1xvurL/NcT5/DZjQt2WJegEnGrm50jRwrNNEo/xmRIzO5f1G9nJpLknqdGuO/QZKnHtVqWaGOqHMjPoQ86TWg0zQu9uCx6THrNPEMWFVOhJFqNRM/sRJe4u6gPPp9orMzlOkqvvEvctcJmg3CYAUVCdLzKIiE0kXOF31kuFBG3JEn8/e/uBGA0EKffYcJtNYiFtJW6zZVmuVXirrc5TZLg3nvhssvgr/96wWY1vbpRWK5UOUA4zLuvF5KuR4tKKZFkhjHlXCnu3i5GOptDlkUzWs04cUI0Wa0pWGHm0+YnT+Zr7up5OhlK0u80MegyIcvwqR8fAuAfb7m48PvtIm6nU0wKzIl0vdtq4Cfvu5Yv/+HlLXl5SZIYdJrZXzQ5UYypcAKvzYAmGOgSdxf1wecT0xp+Pz3W5tURW4Vue2WtUFLlqrXgeDDBxavmPy2cKNJEXs6I22AgazKhVRbjazYWupVfurVX1J6DwQLZtgL9Sr1yYmK++tnq1fW/ntksrPUAjh+Hxx6r+LR8xL3MxL1VySqc9xca1IpnpPef9XNmJsraMhUwdTG4cl0d2Y8TJwRpF3dIr14t/n/qFINOQdxqaWQilKDPbsqXTfyxNANOk0iRq2gXcWs04jVnZ/N3qXXpVsGg0/DM+QC5nDwvip8KJ4VMbDDYJe4u6oMa2ExP47UbS8ZqlxPdiLtWKKly1ShhooobUSSZwS4r87PLGXEDGZsNAqLpyW7SY9CKr/uyNe5C93criXvTJnFbrHj21FOwbl3zZLBli1AKS8zPdOgiEfH9LMeYT5HRiNOsx2HScX6ucG6o9dW3XSUi42JSzz9H0RSvazTq8GEx614MnU6Q96lTmA1aPFZDnrinQgn6nCYuX1P4Hj53867S31eJu5UNiyo8nnzE3Q68Qmlyi1YQmMkbs3SJu4t6UUzcNiNzsRSZKmOHS4kucdcKJVXusRowaDWMV3FeiiYzWFVN5OUmbqs1T9wAPTYxizjoMhfS2a0k7nXrhOLZwYOF+557DnbubP61N20SI1CnT897SB8KLZ9xhCr6okT9qzyWEnI+onQ6X79ZLADFpK5CdcvqrZW4s1k4dkxsZsoxPJw3dRl0mRj1x3ns1CxnZmP0KTV0dQRrXmOY2uTXDnLr6WkrcatNfZVkXqfCSXotOtF41yXuLupBCXEbkGWY6wDZ0y5x1wolVS5JEk6Lvqr0XTSZxZJNiRptK6REm0DGbi9ZLN929VoAVnss7SFujUaMcanEnUoJgtlR2ZKxLqhNWMePz3tIF4ksT5oc5vmQD7vNJfPE//HwabQaiSvWefDajOw/O5+8vvzgqfzv1oQzZwQJVSLuwcECcTvN/ObYNG/68j4AViuEfdd7ruKeP74avbbs8g+30HSmHB5PSaq81bCZlC76MrW4nNJI6tMrHf1d4u6iHpRF3EBHdJZ3ibtWKKlyAIdJRyhRhbhTGazppKhvt9IasQGkHY4S4n7P9evZ/9cva1/EDbBrFzz5pCCyw4eFT3QriFutmave3kVY1oi7jLhXuS2M+GPIsowsy0yFktx6+SocJj2rPeaKnc+ToQRvuGSIHluNEbdaiihPlUOBuGU536CmQu1z6HOYuHR1hY2O2uTXDunYWiNuWcZy9qxQWqsD6tx6uCziDicz5GRwotzfJe4u6kEF4u6EBrUucdcKJVWOLOMw60vctooRS2axpuLL25imIO1wlEQ5kiTlT762Efe73iVqid/6Vl4MhEsuaf51e3qECM7o6LyH9MFga8fa6kFRcxqIVHkinePkdIRfHZ4ilc2xwSfOhX6niYmyEksinSWUyOSfUxMOi5G+ihH3wIAYTwuF8vPNKvodi8yIq8RtaV7NbB5qrXHfey8vevvb4XOfq/x4JAJ///fwwAMld9urRNxq6tzRdQbrohEYjeIan57Olxq7xL2SYLeL6DGZpM9u4ulz/nkiLKlMjlQ2hzW1zDrlCjJlxF2CyUnxnlqdzr/ySqHv+8gjgrjN5kLTWjOQJFG/HSkbqZJljJOTjXWttwJlEfeV60Xk/9jpOf7z0TNAoZbc5zAxWRZxq2pf67x1nC9HjghRk0pZBtXR6Nw5rtrQw8ZeGy6Lnhu39+VFWaoiHBakrdXWfiy1wuMRn1F6EcnI739f3P7kJ5Uf/+IX4aMfhRtvhHPn8nfbjGJuvbzGnfcOSCvliy5xd1EvFBGWTkqVd8fBaoWaPoxEuGKdh589P0EglipJb6qWidZ4izXAG0TaoahhxePzCXpysvXRtoqLLxZ1bpdLNKa1igiGhuZH3OfPo02lYP361vyNeqFu0EIqAYvvfS6S4sxslJt2D7JDccTqd5iIprKEE+m8VaWqH75tsA6d9SNHKkfbIBoEAc6cYcfOnfzygy+u/XXV7vx2QM2I+P0FJbVy5HLw85+Ln/fvFz0ShjJjlX37xDHGYnDHHXD77UD1Gnc4UeYM1iXuLuqFxwN+Pw6TDoNWw3Q34l5BUBfocBivkjIpt3iLpsT8tjUR6YiIO61Gg5Wi7nYS965dgrgfegheXAdxLIZKxK2mTK+8snV/px5otWKTphC3UafFbtQxG00xF0nhsRY2dqoGwGSocOGrTnMeax32liMjpcIrxVCJu0L3/aKItPG8VbMDCzWo7d8PMzNMX3edGPt78snSxzMZePppeN3r4JWvFOUYpRau1rjLe09UIrfFlTJAl7i7qBduN8zNKaVGAzPh5Y+4u8RdK9RIJBzOW7z5y8YCYkqazhoNdz5xT01Vj3yaRfH41403tu51h4cFcRdrfu/bJ8beWlFHbxSK0YiKzf12vvHIGaKpbN7uExAiIIhmNBXTkSR6rYTDVGPyS5YXdlvz+US6+8yZut8G4TaetypxV6tzZ7PwkY+ARsPpd7xD3PfII4XH77pL2JaOjsKePXDrreLnZ58FRMOo3aTj9Ey05GVVIrfHlO+nS9xd1Asl4gZEf1OVxuSlRDdVXiuKUuWeHoW4y3y5I3niDoFr+VPlGZW4/RXUfubmhFF8O1BMotde27rXHRoSY1AzM4Vuz1OniA8OYtcs4x7U4RANeQr+9+u284tDk+g0EjdfOpy/vz8v3lMg7gPnA2wbcNSuUe73ixRyfxVXLUkSG7KZmfrfx1KkyqsR9913w4MPwqc+RWzNGlFmKZ4guOMOcfumN8Fb31rYKN1/P+zejSRJrPdaOV9m7alek/aI8v0sh/VrFysbSsQNogmyvByzHOgSd60oSpXnDRzKIm7Vq9UZmoXhCnqoS4yMugiXL5ayLKLwdo1Qbd0KH/ygiG6MdaiBLQa1Ae38+QJxT0yQ9PloE93UBq+3hCh3DDnzde1iqF3dxZ3ls9EUm3orRLnf+Y6ILMtr97WYtrhclTdriyESad85sVCqfHwc/vIvYfNmcfvgg/MbEY8fh9tuE05xIM6tDRtEqeQDHwBENBQui4byNe7QnLiGl0Ndr4uVDTXizuWwGnX58tZyopsqrxVFqXK1Hlle487XK+emOqM5TT3m8kU8GhXdve0cofr85+HjH2/ta65dK26LRVimp0kvd/qzyPpvIZgNWhwmXUmqPJxI41Aa1fJ49ln4/d+Hm26a/yK1ELfbXaKYVzPamSqvFnFHIqLR7uRJ+NCHhIgPCHe484qbWjYrejLKjWr27CmpgztMekLxcuJOo9VImIP+bpq8i8bgdoteinAYm7EzIu4ucdeKolS5Wa/FqNPMS5UXiHuyI2rcVSNuNepZLtGSRrFjh0gDf/7zYuMhy4K426GtXQ9qJG4QI2FHJsKcmxWyqOFEJj+DnMedd4rbStHpxIS4XYy4G42425UqdzhEI1/5e3r0UZH2vvlmUGvbUErcMzOCvMvLA7t2iTq38poOs45Q+Rx3IoPNqEPq6pR30SjUddLvx2bUzRP5WQ50ibtWFKXKJUnCbTHMS5XPRlPotRL24GxHEHfWbBapwfJFXCXylUbcej186UvwxBOi5qnMBaeWm7jVVLksL/rUtV4rj5+e4413PMJUOEEslcVjK+sov/9+cRuJzH+BWiPuRom7XeetJJXUCvPYt0889h//UTo2uGqV+EwTierv+WLFkjTfoFY5VW4z6roGI100jqLGSptRR7RL3CsIZWYSbquBuWh5qjyJx6xHgo5IlVddLNWoZ7nUxprBLbfAS18Kf/VXeQGO9HI3HKmevTWkp//x5ot5y4tWMRNJ8vQ58fwr1hZtoIJBkf7V68W5Fi8zJRkdFefWQgTbSI1bltubKofKsqfHjwuSLifVVUqPyMhIzcRtN+lIpHMkM9n8U0JqRqNL3F00CtUHwe/HatQRS2XniW8tNbrEXSuMRvFPJW6LnkBsfqrcbVKihg6IuIHKUpMrNeIGsRn5i78Q0eF3vwvQGalyqCld7rTo2TkkjvfElIiofcUa5Q89JOppt976/7d35kFSXdcZ/8709GwIZoMZEAPDIAMCtIMtWzZYKisSSNYSRXFJScUotkuJI9tR4tjIsWO58kfiJbGqUlHJS6wYHDs4tuMSxpYlIgnJTrQhCQmwQGwChhnWAYZlhtlO/jjvTr9udQ/TPa/79ev5flVT7/WbXu7t+/p975x77jnp37Ojw6LrR4pCr683wT+XRaKI3l5bJ50vVzmQvtCI608qLgPc/v3A9u227wrNOJqbzQXvxTxMqrZYgVM+d/lwDAGFm+SKz+J201rpyscWEgp3NtTWDi/7qZ9Q8Y7ybl1n+tBY4V1Qi8HiBtLPvzrhjqLFDVhSl5oa4LvfBRAt4QYSVcC+8YQJUpKrfMMGu0G89VZ77OqmOw4cSC90fpyFkE2AmntuPquspbO429vT98dZ3Pv3A1u32mvd9+wQMTHfuRMAUOsJt3+53aneAUyq9izusM8TEk3cb8In3K/vzyH4M0Ao3NngW69bXxNPCk5TVby67wQayj0XSrFY3E1N77z4RzU4zVFRAdx11/ASrKgJ9zUXNeKT116EP1zUgs/dOC85qnzTJgu6ckvfxiLc2bjL3XPzKdypFvfgoGV4S5eu1m9xP/+8BSam8zL4hPvyFjsPNh9IrKnvdullT5ygxU1ywxectnSu/dZ/veVgiA2icGdHbe2wq/yCyvhwilMA2NdlUcKxQc+FUszC3dVlHoEg11gXmk98Yni3L6xa3A7nuRhlvenyWBlWLrsY3/jDy3HfdSnu361braZ5upuBoaHMrmU/7kamGIXbb3F3dFgymXTCXVNj3+vzz9t3km5pHGBLBNvbAdVha6h/MFEStLunH5PiYtMGFG6SC9XVdq3s6sK02mrMaKjGWd+1PwyYjSAbfK7yqngZ+gaGMDSkKCsTnPTWj97c4A1osbjKm5pMUAYHE1G7+Uy+Uiiuvhp46CGgrQ1DYd+AZCncGenqsuVeCxcm0tH6brriJ0/aMrh8uMqdcOfTe9HYaLEJrnjIrl12PFOBmJaWRJWwJUvSP+fCC02Uu7oQn2BBin0DJtxDQ4rT5wYwSbzfZNieGRJdfGlPq+Mx9IQs3LS4s8En3NVxE8FeL4LV3YHV9Hnza8Vkcasmp8Ds6oq+cJeVAfffD9x2W9gtsZu0ioqxC/fWrbZduNDOn6qqhMV9/Dgu/du/tX2XiCYTubjKCzHH7Ss5CiCRT90VRknFzXNXV9v0QTpcUpaODsS95C39gzZddaZvAEMKTBryVn/Q4ia54ludUx2Poaefwh0d/MJdYcLt7rzcQFafM5d5UVncQLLL9ejR6AamFSMi9n2OVbi3bLHtwoX2nlOmJCzub38bk7ZtAz7/eWD58pHfp1jnuF0p0m3bbLt3r21nZEgP7AR98WJbHpcOv3DHbA7cucpdMpaJA97NNC1ukis+i7uKwh0xamsTg1fuCbc3gE7Aq3s94S4mixtInuc+fDh/JT3HK+mW3WXL1q22HMsJmT8+YcMGnJ49G/ja186fbzvbOe7nnwc+85nk1+aDefNs++abtt2719ZmZ5rqcFXmRipU46YNDhxArEwgkhDuY17d5Don3LS4Sa74LO6aCrrKo0VTk83R9faiyrO4e/vtIuEGssbV/S02i9sv3PmsxT1eCcLidoFpLnraWdyqwEsvoXv+/NG9T0WFBXeNdo575crEfj6LcNTXW7T8xo32eO/ezHXFASsq8h//AXzpS5mf45KydHRARBCPlQ27yrcfPAUAmDtkW1rcJGd82QibJlZh84GTeHH3GH/vY4DCnQ2+SN/hOW7P4j7rXOU9Xj3gmpqCNy8tqcJ99qzdfOSrFvd4JUjhdkycaFnUPvlJ4Pjx0Qs3kF3aU3euvv/9o3//XPnAByyla2/v+YW7vNyKrYz0W6qstO/+wAEAQEWsbNjidgGjjWe95WG0uEmu+Fzl111s186H/uet0JpD4c4GnwhWxe2rc67yXucqP9NtF5ow60P7qa+3aHIn3G6umxZ3sKTLCpYNhw/b2PiF+9Oftu23vw0A6Hau49GQKe3p0NA7j731lgnq+vVZNDhH7r7b+vnzn9sa7ZGEe7RMnWpeJADlMRkW7uGA0e4CRMyT0qa+3lIC9/dj2SVTce28KaG6y/OmLiLyqIgcFpEtvmMNIrJeRHZ425AX4GZJGovbDZ67SFSfOpnftJHZUlZm7Xb5nr0LHC3ugHFZwUZRaCQtLqL8kksSx5YsSVQKq6nB2UxBXOlItbiHhoAPf9jyvPs5etSSoNx4o0Vv55vly+1zHnvMloUFJdxe1bS4z+I+2zeIeEwQ7z5pv4NiiTsh0SNliWXYkeX5NAu/D2BZyrEHADylqnMAPOU9jg5JFneyq7ynfxAVsTKUnz5VXMIN2LyiW4LjLG9a3MEyebIJ0alTub3+d7+zrd/iBoA77gA++lFgzZqR85OnklqTe+NGWxO9YUPiXAASQWnXXptLq7MnFrPo8ieesMcBW9wXVJZj9xGbruo40QMRSWRNy+b7I8RPykqNkhVuVX0OQGqY7W0AVnn7qwBkSIdUpPiWVjnhdoN3qrcflfGy/FdYyoVZsxJLb5xw0+IOFn+KzlzYvdss0dQKWFVVwKpVwC23ZPd+qRb3li2J/ddfT7T1Jz+xvOgjRW4HzYwZiZuK1MIhudDcbBa3KponVeLFPV041duPta93WDIWFhghYyVFuCvjMfT0pZl2KhCFzpzWrKqezxYHAWQ0+0TkXgD3AkBzczM2bNgQWCNOnz6d2/upYmk8jvaNG/H6gisBAD/77RZ07t6GH77Ui8YqwfH2dsjQEDYF2N5ccf2cLYKWt9/Gc08/jdbf/hZtAJ7dvh26Z0/YTQyEnMczQCYdO4arALzxi1+ga5Q5y/0s3LgRNVOm4OVnn834nGz6+a7TpzH16FH81nt+6//+L1yakx1PPokDEydiSDI3iwAAFF9JREFU+k9/ijkDA3jxIx9BTwG/vzkimA5Ay8rw3N69UDeN45HteM44cwYXnT2L3zz+OFrjcbwAYO363wAAqsuBo7t2obK8HK8UwW/STzGct4WgFPo5ac8e+30/+yy6enpw7NA5nOkdSOpXQfupqnn7AzALwBbf4xMp/z8+mvdZtGiRBskzzzyT+4tbWlTvuUf7Bga1deU6ve+Hr+j9a17T1pXrdN3rHaqLFqkuXx5YW8fCcD//7d9UAdVt21Q/9jHVadNCbVfQjGk8g2L/fvuOH3kkt9cvXqx6ww0jPiWrfj74oLVnYMAe/8VfqNbXq9bUqP7VX9mx669XnT8/p+aOiX/4B2tbU1Paf2c9nqtX2/vt2KGPbTqgrSvX6TPbDmnrynX645f3qS5dqvrBD4652UFTFOdtASiJfr75pp1jP/qRqqr+85PbtXXlOu3pG9CTPX16sqdPf73+6UA/EsBGzaCJhba4D4nINFXtFJFpAA6f9xXFhlcmMx4rw4Jpk9DbP4SOEz245qJG3HzZNFtqddFFYbcymaVLbbt+vbnMz5cyk2SPSyTiVapKYtUq4PLLgSuuyPz6vXuBK68Mrj3OtXfypEW8d3ZaljFVSzV6/LjNd3/2s8F95mhxucmDWn7m4jUOHkR1wxwAwImzthSsOh4zt3ymtKqEjIYUV/kFlTZVevHf/Xr4KVc1xXDj9YVpTqHXLK0FsMLbXwHgsQJ//tjxZbOqroiht38QZ/sGcUGldw90qgiD0971LstC9b3v2UU7iIAgkkwsZt/xa68lHz93DrjnHhPlvr60L0VPjy2RCnJcUtOednTYzcWsWXYOfP/7wMCAlUctNLffDnz968DDDwfzfi572v79w8s0u7ySu1XxGOe4ydhJ+T1dNy8RIzS9rhpfunk+lrQUzg7O53Kw/wTwPIB5ItIuIh8H8FUAvyciOwBc7z2OFk1Nw2uhXWRhb//gcO5ynD5dfMFpIsCdd1qt5127aHHni0WLgFdfTV4S5gppAMDTT6d/nYvyDlK4U9OednYmhHvPHoswX7hwZC9AvqisBD73uXcG4uXK7Nl2ju/YMbxM88RZE+5hi5truMlYcNkIvbSnc5on4jMfMu9Oa2MNPrFkNq5sKgHhVtW7VXWaqsZVtUVVv6eqx1T1Q6o6R1WvV9UxJncOAV/hh6p4GXr6BtHTP2gXCFUT7mKzuIHk6kq0uPPDokUmErt3J475Xef/93/pX+ci/mfODK4tfgtBNVm4T5wAnnoKuOmm4D4vTKqrbTrg0KHhG+gjpz3hLhegu5sWNxk7KSs1Jnpe1rIQlhkWSXqvCNHUZGlDz5xBVTyG3oFB9PQNmkuup8cSXRSbxQ0kJ/agxZ0fXPUrV2caSAh3S4sV80iHi+4Pclz8CSOOHrU63hdemDzXWyrCDQwXeZnZYOlRH99ikeqVfb1240KLm4yVFOG+oMoT7rLCC3ehg9Oijy97WuOEChzuPodzA55wu+QbxWhx+y/YFO784KtUNczOnWbt3XKLFcwYHLT5cD+bN9s549aCB4Hf4nYWfWsrsGBB4jmFyE1eKDzhnlgVxz3XzMLvOrtRVx3HReWsxU0CIkW43zu7EUvmTMaK9xXeg0nhzhZf9rSFF07Dquftotg4ocLc5EBxWtyxmAlDezswd27YrSlNXG1ov3Bv2wbMmQO8733AI4/Y49TsaG+8YVMZQea3989x++fQ58wB5s83t36mGtdRpLFxOHvaV271fb9vvGFbWtxkrDQ0JLxjANomT8APPn51KE2hcGeLL3vaHcsWo23KBAwNKa6YWQds2Wz/K0aLG7DsWUeOFE8BlFKjqspSn7a3J45t3mwu6csvt8dbtiQLt6qJyx/9UbBtqakxYfZb3DNnWhDX5s2ldw40NCTqfPs5ycpgJCDq6y34tAigcGeLc5UfPozyWBnePash8b9itrgBu3jxApZfpk9PWNxHjpgVeMkliemJ1JSo+/aZuPiDB4NAxC40//7viTS3Dd65muqqLwU8V/k7cKlVaXGTsZJNqdw8U2K33QUgtb61n2Ke4yaFoaUlIdwPPWTbSy+1c6KqKlGdzeFyiGdTsnO0TJiQOE+XLi3tIhsNDXYDNJhS+IEWNwmK+nozzvr7w24JhTtrJkyw5Sfp8lEXu8VN8s+MGbZ2WxX42c/s2HveY6LZ3PxO4XZu9Xws0fvsZ+1GYt064Fe/Cv79iwknzN3dycdpcZOgSE1qFCIU7lzwZU9LghY3ueSSxLzy7t3AF76QEBVXxcpPZ2dC1IPmvvvMNX/zzXbDWcq479hZ2A5a3CQoKNwRx5c9LQla3MQFof3iF5ZS1F+2Mp3F3dlpAW2lFOEdBpMm2TZVuE+cMA9ZRUXh20RKCwp3xPFlT0uCFjdxc9U//alt/cI9dWp64Q4q9ed4ZiSLm9Y2CQIX3EnhjiiZXOWnT5vlxLv78UttrYn1c8/ZY//Sr+Zm89T4A6go3MGQSbiZp5wEBS3uiOOV9kwqJgEUZ2UwUnj8EeKNjYn95mZLiXvsWOIYhTsYMgWn0eImQUHhjjhNTVau0bnGHcVYGYwUni9/2baf/nTycReA5tzlQ0O2T+EeO7S4Sb4pIuFmApZc8GVPGw6KAWhxE+OKK97pjQGShfvSS634x8AAhTsIRprjZm5+EgTxuK3OSJfop8DQ4s4FX/a0JHh3T0bCrdX+wQ9s22kVrCjcAVBVZbEltLhJPimS7GkU7lxw85apd17HjyciDwlJZeZMu+lbvRr4zW8o3EFTW5ss3Kom3JzjJkFB4Y4w7g7eZWVydHUl5kEISUUEePll23/ssYRwu6piZGykCndPj8Wi+AMECRkLDQ0U7sgyknDT4iYj0dpqBUW2bQM6OuwYLe5gmDQpWbjdBZY30yQoaHFHGOd68wt3f78Fp1G4yfloa7OUqJ2ddiGoqgq7RaVBqsXtprL4myRBQeGOMJWVlkbRL9xuMHmRIOdj5kwr59nRQWs7SCjcJN9QuCNOXV2ycLuLBN1y5HzMnGmJQl55BZg9O+zWlA61tckJWCjcJGjq64EzZ4C+vlCbQeHOlVThPnrUtpMnh9MeEh1mzrTtvn3AvHnhtqWUSLW4OcdNgqZIkrBQuHMl1WXihNut8SYkE064AQp3kDiLe2jIHtPiJkFD4Y44qRa3K/NJi5ucD38mr3e/O7RmlBy1tbZ225XX7eoCysuZhpgER5FUCKNw5wpd5SRXpk5N7F92WXjtKDVS05665Zki4bWJlBZFYnEzV3mupBPuCRMs2pyQ87F7t3lpynjvHBh+4Z4xwy6unN8mQULhjjhOuFXtjv7QIc5vk9HT1mZ/JDhcwZ9Ui5uQoCgS4ebtfq7U1QGDg7Y0AAD2708OOiKEFJZMrnJCgsJlzQy5QhiFO1dS057u20fhJiRMKNwk38TjFuxIizui+F0mg4NAezuFm5AwSSfcnOMmQTNtGnDgQKhNoHDnit/i3rcPGBhIXuZDCCksTri7u+332N1Ni5sET1sbsGdPqE1gcFqu+IXbreG+/PLw2kPIeKemBojFzOJ2U1gUbhI0bW2WrjhEaHHnil+4N22yZT2XXhpumwgZz4gk0p4yaxrJF21twLFjVg0yJCjcueIX7h07zE3ONdyEhEtdncWdsOgPyRczZtg2xHluCneu+Gty79nDKk+EFANTptjUFcvsknwxfbpt29tDawKFO1ficcuUdvy4ZcGicBMSPk64XdxJY2O47SGlR0uLbSncEaW+3hKvHDlC4SakGHDCffCgPZ42Ldz2kNKDFnfEqasDXnvN9inchITPlCnA4cNAZ6d5xFgZjARNVRVw4YXAzp2hNYHCPRbq6oBdu2yfwk1I+EyZAvT3A2+9lVyFjZAgmTvXzrGQoHCPBRdZDrBgBCHFQFOTbTdvpnCT/DFvXkK4BwaAv/97NLz0UsE+nsI9FtxSk8mTGb1KSDHgKvTt359YtkNI0Myda2u5jx0Dbr8dePBBTH388YJ9PDOnjQUX+HLxxeG2gxBiOIsbAObPD68dpLSZN8+2q1cDv/wlsGIF3rrjDjSN/KrAoMU9FpxwuzXdhJBw8U9Z8Yaa5IvLLrPtP/6jZc385jcx4OrBFwAK91i44Qbb/tmfhdsOQojR0AC0ttr+NdeE2xZSurS02FTpkSPA1VcXfKqUrvKxsGABcO4cUFERdksIIY6nnwbOnk0kyiAkaESA978fWLcOuPnmgn88hXusULQJKS64NJMUgq9+1YIh77234B9N4SaEEEKyZeFC4NFHQ/loznETQgghEYLCTQghhESIUIRbRJaJyHYR2SkiD4TRBkIIISSKFFy4RSQG4GEAywEsAHC3iCwodDsIIYSQKBKGxf0eADtVdbeq9gFYA+C2ENpBCCGERI4whHs6gP2+x+3eMUIIIYScB1HVwn6gyJ0AlqnqJ7zHfwLgalX9VMrz7gVwLwA0NzcvWrNmTWBtOH36NC4YB3V62c/Sgv0sLdjP0iLofl533XWvqOridP8LYx33AQD+sj0t3rEkVPU7AL4DAIsXL9Zrr702sAZs2LABQb5fscJ+lhbsZ2nBfpYWhexnGK7ylwHMEZE2EakAcBeAtSG0gxBCCIkcBbe4VXVARD4F4AkAMQCPqurWQreDEEIIiSKhpDxV1V8B+FUYn00IIYREGWZOI4QQQiIEhZsQQgiJEAVfDpYLInIEwN4A33IygKMBvl+xwn6WFuxnacF+lhZB97NVVaek+0ckhDtoRGRjpvVxpQT7WVqwn6UF+1laFLKfdJUTQgghEYLCTQghhESI8Src3wm7AQWC/Swt2M/Sgv0sLQrWz3E5x00IIYRElfFqcRNCCCGRZNwJt4gsE5HtIrJTRB4Iuz25IiIzROQZEfmdiGwVkb/0jn9FRA6IyCbv7ybfa77g9Xu7iNwYXuuzQ0TeFpHNXn82escaRGS9iOzwtvXecRGRf/H6+YaIXBVu60eHiMzzjdkmEekWkftLYTxF5FEROSwiW3zHsh4/EVnhPX+HiKwIoy8jkaGf3xCRbV5ffi4idd7xWSLS4xvXb/les8g733d634WE0Z9MZOhn1udpsV+LM/Tzx74+vi0im7zjhR1PVR03f7Dc6LsAzAZQAeB1AAvCbleOfZkG4CpvfyKAtwAsAPAVAH+T5vkLvP5WAmjzvodY2P0YZV/fBjA55djXATzg7T8A4Gve/k0AHgcgAN4L4MWw259Df2MADgJoLYXxBLAUwFUAtuQ6fgAaAOz2tvXefn3YfRtFP28AUO7tf83Xz1n+56W8z0te38X7LpaH3bdR9DOr8zQK1+J0/Uz5/z8D+HIY4zneLO73ANipqrtVtQ/AGgC3hdymnFDVTlV91ds/BeBNANNHeMltANao6jlV3QNgJ+z7iCq3AVjl7a8CcLvv+Go1XgBQJyLTwmjgGPgQgF2qOlLSociMp6o+B6Ar5XC243cjgPWq2qWqxwGsB7As/60fPen6qapPquqA9/AFWBnjjHh9naSqL6hd9Vcj8d0UBRnGMxOZztOivxaP1E/Pav4IgP8c6T3yNZ7jTbinA9jve9yOkcUuEojILABXAnjRO/QpzzX3qHNBItp9VwBPisgrInKvd6xZVTu9/YMAmr39KPfTcReSLwilNp5A9uMX9f4CwMdgFpejTUReE5FnRWSJd2w6rG+OKPUzm/M06uO5BMAhVd3hO1aw8Rxvwl1yiMgFAH4G4H5V7QbwCICLAFwBoBPmzok6H1DVqwAsB3CfiCz1/9O7ky2J5RFiNepvBfAT71ApjmcSpTR+mRCRLwIYAPBD71AngJmqeiWAvwbwIxGZFFb7AqDkz9MU7kbyzXVBx3O8CfcBADN8j1u8Y5FEROIw0f6hqv43AKjqIVUdVNUhAN9Fwn0a2b6r6gFvexjAz2F9OuRc4N72sPf0yPbTYzmAV1X1EFCa4+mR7fhFtr8icg+ADwP4Y+8mBZ7r+Ji3/wpsvncurE9+d3ok+pnDeRrl8SwHcAeAH7tjhR7P8SbcLwOYIyJtnmVzF4C1IbcpJ7w5lu8BeFNVv+k77p/P/X0ALiJyLYC7RKRSRNoAzIEFTRQ1IjJBRCa6fViwzxZYf1xk8QoAj3n7awF81ItOfi+Akz6XbBRIupMvtfH0ke34PQHgBhGp99ywN3jHihoRWQbg8wBuVdWzvuNTRCTm7c+Gjd9ur6/dIvJe7zf+USS+m6Ilh/M0ytfi6wFsU9VhF3jBxzPfkXnF9geLWn0Ldkf0xbDbM4Z+fADmXnwDwCbv7yYAPwCw2Tu+FsA032u+6PV7O4osUnWEfs6GRZy+DmCrGzMAjQCeArADwP8AaPCOC4CHvX5uBrA47D5k0dcJAI4BqPUdi/x4wm5EOgH0w+b4Pp7L+MHmiHd6f38adr9G2c+dsLlc9xv9lvfcP/DO500AXgVwi+99FsOEbxeAf4WXKKtY/jL0M+vztNivxen66R3/PoA/T3luQceTmdMIIYSQCDHeXOWEEEJIpKFwE0IIIRGCwk0IIYRECAo3IYQQEiEo3IQQQkiEoHATMs7wKhltOf8zCSHFCIWbEDJmvGxShJACQOEmZHwSE5HvitVyf1JEqkXkChF5QRK1o12N7A0istjbnywib3v794jIWhF5GpZMhRBSACjchIxP5gB4WFUXAjgBy/y0GsBKVb0MlgXrwVG8z1UA7lTVD+atpYSQJCjchIxP9qjqJm//FVhlpzpVfdY7tgrA0rSvTGa9qo62NjMhJAAo3ISMT8759gcB1I3w3AEkrhVVKf87E2SjCCHnh8JNCAGAkwCOi8gS7/GfAHDW99sAFnn7dxa4XYSQFBgJSghxrADwLRGpAbAbwJ96x/8JwH+JyL0AfhlW4wghBquDEUIIIRGCrnJCCCEkQlC4CSGEkAhB4SaEEEIiBIWbEEIIiRAUbkIIISRCULgJIYSQCEHhJoQQQiIEhZsQQgiJEP8P16d+FUF4mJoAAAAASUVORK5CYII=\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse: 15.077673845198444\n","mse: 3.3208823081546757\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse:  23.449165111593057\n","mae:  4.585610443888388\n","CPU times: user 3min 36s, sys: 1.06 s, total: 3min 37s\n","Wall time: 1min 53s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"-MVxM7_YJCDm","colab_type":"text"},"source":["对pm2.5进行预测"]},{"cell_type":"code","metadata":{"id":"ztUhnEADG7bK","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1598793061826,"user_tz":-60,"elapsed":112644,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"65c81ca6-0bc1-4894-a9d6-33dd2d19c4c5"},"source":["%%time\n","predict_lgb_mul('pm2.5')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 25.6233\tvalid_0's l1: 4.29827\n","[2]\tvalid_0's l2: 25.4418\tvalid_0's l1: 4.28031\n","[3]\tvalid_0's l2: 25.4467\tvalid_0's l1: 4.27049\n","[4]\tvalid_0's l2: 25.6024\tvalid_0's l1: 4.26353\n","[5]\tvalid_0's l2: 25.8891\tvalid_0's l1: 4.26053\n","[6]\tvalid_0's l2: 26.2902\tvalid_0's l1: 4.2619\n","[7]\tvalid_0's l2: 26.7858\tvalid_0's l1: 4.26749\n","[8]\tvalid_0's l2: 27.3585\tvalid_0's l1: 4.27623\n","[9]\tvalid_0's l2: 27.9931\tvalid_0's l1: 4.28605\n","[10]\tvalid_0's l2: 28.6809\tvalid_0's l1: 4.29868\n","[11]\tvalid_0's l2: 29.413\tvalid_0's l1: 4.31297\n","[12]\tvalid_0's l2: 30.1744\tvalid_0's l1: 4.32802\n","[13]\tvalid_0's l2: 30.9627\tvalid_0's l1: 4.3448\n","[14]\tvalid_0's l2: 31.7671\tvalid_0's l1: 4.36212\n","[15]\tvalid_0's l2: 32.5767\tvalid_0's l1: 4.37912\n","[16]\tvalid_0's l2: 33.3877\tvalid_0's l1: 4.39714\n","[17]\tvalid_0's l2: 34.1989\tvalid_0's l1: 4.41533\n","[18]\tvalid_0's l2: 35.0198\tvalid_0's l1: 4.43867\n","[19]\tvalid_0's l2: 35.8225\tvalid_0's l1: 4.46503\n","[20]\tvalid_0's l2: 36.6311\tvalid_0's l1: 4.49561\n","[21]\tvalid_0's l2: 37.4121\tvalid_0's l1: 4.52832\n","[22]\tvalid_0's l2: 38.1775\tvalid_0's l1: 4.56349\n","[23]\tvalid_0's l2: 38.9291\tvalid_0's l1: 4.59937\n","[24]\tvalid_0's l2: 39.6459\tvalid_0's l1: 4.63593\n","[25]\tvalid_0's l2: 40.3453\tvalid_0's l1: 4.6731\n","[26]\tvalid_0's l2: 41.0688\tvalid_0's l1: 4.71194\n","[27]\tvalid_0's l2: 41.741\tvalid_0's l1: 4.74862\n","[28]\tvalid_0's l2: 42.3965\tvalid_0's l1: 4.78533\n","[29]\tvalid_0's l2: 43.0576\tvalid_0's l1: 4.82142\n","[30]\tvalid_0's l2: 43.667\tvalid_0's l1: 4.85535\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse: 1.262498637757139\n","mse: 0.9504890060216384\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAfQAAAGDCAYAAADd8eLzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3hVRf7H8fekNwIkIQEC0jsoJYACKkXE7uoPEctaWEFcRLEAoiDrrr2BDREBsYAUUbGuri7oKooCSpMiCAk1IUBIIT3z++OESAtp9+beJJ/X8+Qh99w5c74ZY7535syZMdZaREREpGrz8XQAIiIiUnFK6CIiItWAErqIiEg1oIQuIiJSDSihi4iIVANK6CIiItWAErpIJTDG7DDGXODpOESk+lJCFxGvYYy51BjznTEmxRizzxgz0xhT6zTldxhjMo0x6YVfX1ZmvCLeRAldpBoxxvh5OoYKqg08CjQE2gGxwDMlnHO5tTas8OtCdwco4q2U0EUqT2djzFpjzGFjzAJjTNDRN4wxw40xW40xB40xHxljGhYeb2qMsccmamPMMmPMbYXf32KM+d4YM8UYcwD4hzGmpTHmm8LrJBtjFpwqGGPM58aYO084tsYYc7VxTDHGJBljUo0x64wxHYupZ5kx5gljzE+FZZcYYyJOiP9WY8xOY8whY8xIY0z3wrZIMca8fLQua+08a+2/rbVHrLWHgNeB3uVucZEaRAldpPIMAS4CmgFnArcAGGP6A08Uvt8AiAfml6HensAfQAzwGPAv4EugLtAIeKmY894Frjv6whjTHmgCfApcCJwHtMbpNQ8BDpwmhpuAYYXx5wEvniLGVsC1wFTgIeACoAMwxBhzfjH1ngdsOM11AeYaY/YbY740xpxVQlmRaksJXaTyvGit3WOtPQh8DHQuPH4DMNtau9pamw1MAM4xxjQtZb17rLUvWWvzrLWZQC5OYm5orc2y1n5XzHkf4IwaNDkmjvcLY8gFagFtAWOt3Wit3XuaGN621q631mYAk3CStO8x7/+rMJYvgQzgXWttkrV2N/A/oMuJFRpjBgI3Aw+f5ro3AE0Lf96lwBfGmDqnKS9SbSmhi1Sefcd8fwQIK/y+IU6vHABrbTpObzi2lPXuPOH1OMAAPxljNhhjhp3qJGttGk5vfGjhoeuAuYXv/Rd4GXgFSDLGzDDGhJcyhnjAH4g65ljiMd9nnuJ12DGvMcacDcwDBltrtxR3UWvt99bazMIh+ieAFODc08QpUm0poYt43h6cHiYAxphQIBLYjdObBQg5pnz9E84/bstEa+0+a+1wa21D4HZgmjGmZTHXfhe4zhhzDhCE08s9Ws+L1tpuQHucofexp/kZGh/z/Rk4Pfzk05QvljGmC/ARMMxa+3UZT7c4H2ZEahwldBHPexe41RjT2RgTCDwOrLDW7rDW7sdJ7DcaY3wLe9stTleZMeYaY0yjwpeHcJJcQTHFP8P5MPFPYIG1tqCwju7GmJ7GGH+cDxVZp6mDwvjaG2NCCut6z1qbX4qf/cTYOwL/BkZbaz8uoewZxpjexpgAY0yQMWYszqjA92W9rkh1oIQu4mHW2q9w7jsvBvbiJOyhxxQZjtM7PoAziWx5CVV2B1YYY9Jxerp3W2v/KOba2cD7OBPU5h3zVjjODPNDOEPoBzj942NvA3NwbisEAXeVEGNx7gPqAbOOeba8aFKcMWa6MWZ64ctawKuFMe7GmXB4sbX2dJP3RKotY60tuZSISDGMMcuAd6y1Mz0di0hNph66iIhINaCELiIiUg1oyF1ERKQaUA9dRESkGlBCFxERqQaqxM5MUVFRtmnTpi6rLyMjg9DQUJfVJ2pTV1N7up7a1LXUnq53bJuuWrUq2VpbryznV4mE3rRpU1auXOmy+pYtW0bfvn1dVp+oTV1N7el6alPXUnu63rFtaoyJP33pk2nIXUREpBpQQhcREakGlNBFRESqASV0ERGRakAJXUREpBqoErPcRUSqm9TUVJKSksjNzfV0KOVSu3ZtNm7c6OkwqiR/f3+io6MJDw93ab1K6CIilSw1NZXExERiY2MJDg7GGOPpkMosLS2NWrVqeTqMKsdaS2ZmJrt37wZwaVLXkLuISCVLSkoiNjaWkJCQKpnMpfyMMYSEhBAbG0tSUpJL61ZCFxGpZLm5uQQHB3s6DPGg4OBgl99uUUIXEfEA9cxrNnf891dCFxERqQY0KU5ERLyftZCZCfn5EBAA/v7goz7psZTQRUTEcwoKICfnzy8AHx+WLV9Ov8svZ93SpXSMjYX0dCeZH8vfH4KDISIC6tYFX99yhbBjxw6aNWvGxx9/zGWXXVbBH8hzlNBFRKRy5eVBYiIcOPBnEj9R4WNd7NsHUVFOwq5VC/z8jv8AkJEBO3ZAfLxTJjLSKVcDe+9K6CIiUmH5+fnk5+cTEBBwukKQlOQk6fx8qF3bScCBgc7X0XMLCmD/fuf7Nm2gY8fi67TWSeoHDsChQ3DwIBgDYWFOYq9Vy/m+BkxCrHkfYUREpMJGjhxJXFwcH374IR06dCAoKIgVK1YAsGTJEuLi4ggKCqJ+/fqMGzuW3F27YN062L2bTUlJDH3qKRr3709Iq1Z0OP98ps6aRYG/v5PYg4OdL3CG1U8hIyOD0NBQXpk2zUnYTZrAmWdCq1Z0HzaMG++/H/bsYe/33zPsqqtofsYZBAcH07p1ayZOnEhOcSMDhYwxvPzyy8cd+8c//kFUVNRxxxISEhg6dCgRERGEhIQwaNAgNm/eXM5WrRgldBERKZcdO3Ywbtw4JkyYwOeff06zZs1YuHAhV199NT169OCjJUuYPHYsM157jQkPPOAk6bZt2e3nR5v27Zk2bRqfffYZw4cPZ/LkyTz11FOlvnZoaCiXXXYZCxcu/POgjw9/HDjAyrVrGXr77dC5M8m1ahERFcXzd9/Nv6dOZezQobzx+uuMvuUW2LPHGQnIyCjXz3/w4EH69OnD5s2bmT59OgsXLiQjI4MLLriAzMzMctVZERpyFxHxBmPGwK+/eubanTvD1KllPu3AgQN89dVXdO7cGXCWNR07diw33XQT0559FnbuhMhIAseOZdTjjzNh6lQiw8IYMGAAAwYMKDqnT58+HDlyhNdff50JEyaU+vpDhw5l8ODB7Nmzh4YNGwKwYMEC6taty6BBg8DPj069e/Ns797OMP7hw/Tev5/QsDCGTZrES6NHE+Dv7yR2cIbs8/Kc+/SlMGXKFDIyMvj111+JiIgAoHfv3jRt2pTZs2czatSoUv8srqAeuoiIlEtsbGxRMgfYsmULCQkJDLn4YvLWrSMvLY28hg3pf+ONZGVlsX7DBgCysrKYPHkyLVu2JDAwEH9/fx566CG2b99OXl5eqa9/8cUXExYWxqJFi4qOLViwgKuuugr/wqF6ay1Tp06lfceOBDdsiH+bNtwwfjzZOTkkREZCp07QqJFzcnIyrFkDf/xB4cmnvf5XX33FwIEDCQ8PJy8vj7y8PGrVqkW3bt1YuXJlqX8OV1EPXUTEG5Sjh+xpMTExx71OTk4G4JJrrz1l+Z07dwIwfvx4Zs6cyeTJk+natSt16tRhyZIlPProo2RlZREWFlaq6wcFBXHllVeyYMEC7r77bjZv3syaNWt45plnispMnTqVsWPHMn78eM4//3zq1q3Lzz//zKhRo8jKyXHu2Rf2rjnjDGdG/cGDzutdu5zkXrcu1Klz0vWTk5P58ccfWbBgwUnvHR2BqExK6CIiUi7HLV9qLRGFvesZ//oXXQYOPOm58GbNmgGwaNEiRo8ezbhx44re+/TTT8sVw7XXXsvll19OQkICCxYsoF69evTv37/o/UWLFjF48GAee+yxomO//fbbqSsLDHQm1zVuTGBgIDn+/pCa6iT4kBAOnbCZSkREBFdccQWTJk06qSpP7ESnhC4iIhVjLezcSZvgYGLr12fHkSMM79mz2OKZmZkEBgYWvc7Pz2f+/PnluvSFF15InTp1WLhwIQsWLGDw4MH4HvNB4sRrAcydO/f0lfr40KhRIzYmJjoz51NSKIiP5+svvnDuxRfeZx8wYAALFy6kQ4cOXrHZjhK6iIiUn7WQkAD79+PToAHPTZnCX2+6idS0NC6++GICAgL4448/+PDDD3nvvfcICQlh4MCBvPLKK7Rs2ZKIiAheeeUVsrOzy3V5f39/rr76ap5//nn27t3LtGnTjnt/4MCBvPjii/Ts2ZMWLVowd+5ctm7dWmK9V111Fa+88gpdunShefPmzHz9dVKzspyEvmEDxMRw76hRvPPOO/Tv35/Ro0cTGxtLYmIi33zzDX369OG6664r189UXkroIiJSfjt3Oo9+1a8PsbFcO3Qo4bVr8/jjjzN79mx8fX1p3rw5l112WdGiMy+99BIjR45k1KhRBAcHc/PNN3PVVVcxYsSIcoUwdOhQZs2aRcOGDTn33HOPe+/hhx9m//79TJw4EYCrr76aF198kcsvv/y0dU6ePJmkpCQmTpxIQEAAd955Jx06duSVl192FsDZtYso4Mc33+Sh6dO5Z8wYUg4fpkGDBvTp04czzzyzXD9LRRhbwiw+bxAXF2ddOWNw2bJl9O3b12X1idrU1dSerudNbbpx40batWvn6TAqJC01lVqHDztLuMbEODPFa8BqbEWysiAlxflKT4egoNOvaHcKJ/4eHPs7aoxZZa2NK0t9buuhG2NmA5cBSdbajoXHOgPTgSAgD/i7tfYnd8UgIiJuYC0BycnOZLHo6JqXzMFJ4PXrO1+5ucWvSV+J3Pkc+hzgohOOPQ08Yq3tDDxc+FpERLydtc6M74QEWLeOwIMHoV49aNy45iXzE/n7Q2iop6NwXw/dWvutMabpiYeB8MLvawN73HV9ERFxgSNHnHvkR1dRMwbCw8mMiCA4NlbJ3Iu49R56YUL/5Jgh93bAF4DBGR3oZa2NL+bcEcAIgJiYmG7lfaThVNLT00u9cIGUjtrUtdSerudNbVq7dm1atmzp6TCKV1CAX1oa/ikp+GVlYY0hLyyMvFq1yAsNBR8f8vPzj3s8TMpu69atHD58uOj1sb+j/fr185576MW4A7jHWrvYGDMEmAVccKqC1toZwAxwJsW5cjKLN02OqS7Upq6l9nQ9b2rTjRs3emThkVI5csTZXzw727lP3LgxJjISfz8/jt33LC0tzXt/hioiKCiILl26FL2u6O9oZSf0m4G7C79fBMys5OuLiEhxDhyA+HhnhbdWrSA8XEPqVUhlb86yBzi/8Pv+wO+VfH0RETlR4UpvbN8OISHQvj3Urq1kXsW487G1d4G+QJQxZhcwGRgOvGCM8QOyKLxHLiIiHpKfD1u3Qlran4+g+WgjzqrInbPci1vzrpu7rikiImVQUPBnMm/a1NlpTKosfQwTEamJCgpg2zYnmTdrViWS+csvv3zcDm/Lli3DGMP69etLXceMGTP48MMPTzretGlT7r//fpfE6Slay11EpKax1tnn+/BhZ7vQyEhPR1QuXbt25YcffqBFixalPmfGjBl07NiRv/zlL8cd/+CDD4isou1wlBK6iEhNYq0z+S0lxVnlrV69Srt0ZmamS7cZDQ8P5+yzz3ZJXcc+PlZVachdRKSmyMyEjRudNdhjY51NVcpp5MiRxMXF8eGHH9K2bVuCgoLo06cPv/32W1EZYwzPP/88Y8aMoV69enTq1AmArKwsxo0bR+PGjQkMDOSss87is88+O67+7Oxs7rzzTurUqUNERAT33HMPubm5x5U51ZB7fn4+TzzxBK1btyYwMJBGjRpxyy23ANC3b19WrVrFm2++iTEGYwxz5swBTj3kvnDhQjp16kRgYCCNGzfmoYceIi8vr+j9OXPmYIxh3bp1DBw4kNDQUNq2bcv7779f7natCCV0EZHqzlrYtw9++83ZRKR5c2jQoMLVxsfHc++99zJp0iTmzZvH4cOHGTRoEFlZWUVlnnnmGfbu3cvbb7/Niy++CMDgwYOZM2cODz74IB9//DHdu3fniiuu4Ndffy0674EHHmDmzJlMmjSJuXPnEh8fz3PPPVdiTLfffjuTJ09myJAhfPLJJzz33HMcOXIEgGnTptG2bVsuueQSfvjhB3744QcuvfTSU9bz5Zdfcu2119K1a1eWLFnC6NGjefbZZ7nzzjtPKnv99ddzxRVX8MEHH9CqVSuGDh3Krl27ytSWrqAhdxERL/DIxxv4bU+q6yu2BZCZ5Tye5ufnrP62YvNxRdo3DGfy5R3KXHVycjJLliyhV69eAHTr1o0WLVowZ84cRo4cCUCDBg1YsGBB0Tlff/01n376KcuWLeP8851lSS688EK2bNnCY489xqJFizhw4ADTp0/nkUce4b777gNg0KBBtG/f/rTxbNq0iVmzZvHCCy9w1113FR2/9tprnZ+zfXtCQ0OpV69eiUP1Dz/8MH379uXNN98E4KKLnL3GJkyYwMSJE2nUqFFR2XvuuYdhw4YVtUFMTAyffPJJURtUFvXQRUSqq4ICZynXggIIDoLgYJcuFhMdHV2UzAGaNGlCt27d+OmnP3fFvuSSS44756uvvqJ+/fr07t2bvLy8oq8BAwawcuVKANatW0dWVhZXXnll0Xk+Pj7HvT6VpUuXAhQNsZdXfn4+q1ev5pprrjnu+LXXXktBQQE//PDDcccvvPDCou8jIyOJjo5WD11EpKYqTw/5tNLT4fffwScMWrd2krmLRUdHn/LY3r17i17HnHCfPjk5mX379uHv73/iqUWbvezbt++U9Z/qesc6cOAAoaGhhIeHn7ZcSZKTk8nNzT0p9qOvDx48eNzxOnXqHPc6ICDguNsOlUUJXUSkuklNdRaM8fd3knlgoFsuk5SUdMpjHTr8+eHEnDAiEBERQWxs7CmfBT+qfv36RXVFRESc9nrHioyMJCMjg9TU1Aol9aioKPz9/U+6XmJiIsBxMXkTDbmLiFQnKSlOzzwwENq0cVsyByfBLl++vOh1QkICq1evpkePHsWeM2DAAPbt20dYWBhxcXEnfQF06tSJoKAglixZUnReQUHBca9PpX///gC89dZbxZYpTe/Z19eXbt26sWjRouOOL1y4EB8fH84555zTnu8p6qGLiFQXWVnOgjHBwU7P3M+9f+KjoqK48cYbefTRRwkODmby5MlER0ef9h72wIEDGTRoEAMHDmT8+PF06NCB1NRUfv31V7KysnjiiSeIjIxkxIgRTJ48GT8/Pzp06MDrr79Oenr6aeNp06YNI0aM4L777iMpKYnzzjuPlJQU3nvvPebPnw9A27Zt+eKLL/jiiy+IjIykWbNmp1xQ5pFHHmHQoEHceuutDB06lHXr1jFp0iSGDx9+3IQ4b6KELiJSHRQUOMncGGjRwu3JHJxJcA8++CAPPPAA8fHxxMXFMW/ePIKCgoo9xxjD+++/z+OPP87UqVNJSEggIiKCzp07M3r06KJyTz/9NLm5ufzzn//Ex8eHG2+8kXvvvbdo1ntxpk2bRpMmTZg5cyZPPvkk0dHRx01amzhxIgkJCQwZMoTU1FTeeOONU34AufDCC5k/fz6PPvooc+fOJTo6mvvuu49HHnmk7A1VSYy11tMxlCguLs4enf3oChXdRF5OpjZ1LbWn63lTm27cuJF27dq5ttKdOyEx0Unmdeu6tu5TuOGGG9i8eTOu/Ntc05z4e3Ds76gxZpW1Nq4s9ekeuohIVZeS4iTz6OhKSebinTTkLiJSleXkwI4dEBLi7GVeTVhryS+wuGIM2c/HnDTbvjpSQhcRqaqO7ppWUOAs5+pTeYOu06dPp1atWi6r70hOHslp2eTkW3LzC8grsLjqlnBooB8NawcRHFC9U171/ulERKqz3budBWSaNXOWdK2CcvML2Hc4i0NHcvDz8SHI34ewQD/8fA3+Pj4VXtguv8CSnJ7D70npRIQGEBMehL9v9bzbrIQuIlIVpaQ4G67Uq1cl9jPPyy8gKzf/uGNHcvJJSsvGAvVqBRJdKxBfN4wyRIQFkJSazYH0HA4fySUyLJC6If4E+vu6/FqepIQuIuIB1try39fNznb2NA8JcfY092J5+QUkp2eTnJ5DwSmG0MOD/GlQO8itydXPx4eGdYKJCA1g3+EsktKcr5AAP+qG+FMryA8o/r+FMbi8V++OJ8yU0EVEKpm/vz+ZmZmEhISU/eSjz5tDpd83L4v8ggKS03NITssm31rqBAdQN9T/uA8xvj6G4ErsJQf5+9I0KpScvAJSMnNIychld0pmqc4NC/QjJjyI0EDXpM3MzMxTrmdfEUroIiKVLDo6mt27dxMbG0twcHDZeuq7dkFGhvO8uZfeN8/OzeeP5Axy8wuoHexPdHhQpSbukgT4+RBdK4h6YYFk5eaTecKtgBPl5Tv34bftTyc8yJ+Y8MByT7Cz1pKZmcnu3btP2vylopTQRUQq2dGNQ/bs2UNubm7pTzxyBPbvh1q1nPvnhbuSeUJWVtYpV4TLzXd65lhLZFggR9J82HH6PVWqBGstWdl57M/K43cLtYL8qB1cvh62v78/MTExFd4V7kRK6CIiHhAeHl62P+i7d0OfPtC0KfzwAwQEuC220li2bBldunQ57timfakMm7kCMMwb3pPWMa57rM1bHM7MZdb//qBj7dqc3a6+p8M5jhK6iIi3y8+Hv/7VmQz37rseT+ansn73Yf46awUBfj7MG342LeqFeTokt6gd7M+9F7bxdBinpIQuIuLtnn4ali6F2bOdXdQ8qKDAMv3bbbz0VQb5X31edDw3v4CGtYOZN7wnTSJDPRhhzaWELiLizVasgEmT4Npr4TTbklaGQxk53LvwV5Zu3s9Z9Xw5p33TovcCfA1De5xBwzrBnguwhlNCFxHxVqmpcN11zhrt06dT4WXTKmBV/CFGz1tNcnoO/7yyA42zttOvX1uPxSMnU0IXEfFGWVnwl79AQgJ8+y3UqVPpIeTkFfDjHwf4fP0+Fq3cSYM6Qbx3xzmc2agOy5btqPR45PSU0EVEvE1urjPEvnQpvP029OpVqZdfnXCIt5bv4OtNSaRl5RES4MtfusQy6bL25X5US9xPCV1ExJsUFMCtt8JHH8HLL8ONN1bq5bftT+fGmSvw9/VhUIf6XNShPn1aRRHkRQvDyKkpoYuIeAtrYfRomDsXHnsMRo2q1Mtn5eYzau5qAv18+Ozuc2lQWxPcqhIldBERb/HsszBtGowdCxMmVPrlH/30NzbtS2P2LXFK5lWQd67qLyJS0+zaBf/4hzMR7qmnKn1G+6dr9/LOjwmMOK85/du6do1xqRxK6CIi3uDBB50V4Z5/vtKTefyBDB5YvJYuZ9Rh7CDvXAVNSqYhdxERT/vpJ2c2+4QJ0KyZWy/1255Unv/PFo7k5BUd25GcgTHw4tAuLt/3WyqPErqIiCdZC/fcAzExbr9v/snaPYxdtJaQAF+a1/tzedYzIkMY1a8ljSPKsT+7eA0ldBERT1q4EJYvh5kznW1R3SC/wPLMF5uZ/s02ujWpy6s3diW6lnfupS7l57axFWPMbGNMkjFm/QnHRxtjNhljNhhjnnbX9UVEvF5mJowbB507u22d9sOZuQyb8zPTv9nG9T3P4N3hZyuZV1Pu7KHPAV4G3jp6wBjTD7gSOMtam22MiXbj9UVEvNvzzztLu775Jvi6fuGW7Lx8hr+5kl92HuKxqzpyQ88mLr+GeA+3JXRr7bfGmKYnHL4DeNJam11YJsld1xcR8WqbN8Ojj8LVV0Pfvi6v3lrLhPfX8dOOg7wwtDNXdo51+TXEu1T2dMbWwLnGmBXGmG+MMd0r+foiIp6Xn+8MsQcHO8u7usErS7fy/urd3HNBayXzGsJYa91XudND/8Ra27Hw9XpgKXAX0B1YADS3pwjCGDMCGAEQExPTbf78+S6LKz09nbCwMJfVJ2pTV1N7up43tWnjd9+lxYwZ/PbQQyRdcIHL61+xN49X12RzTkNfRnQKxLjhuXZvas/q4tg27dev3yprbVyZKrDWuu0LaAqsP+b1v4F+x7zeBtQrqZ5u3bpZV1q6dKlL6xO1qaupPV3Pa9p0/XprAwKsvfpqawsKXF79qviDttVDn9nBr35vs3LzXF7/UV7TntXIsW0KrLRlzLmVPeT+IdAPwBjTGggAkis5BhERz8jNhZtvhvBwePVVl68IdyQnj7ve/YX64UG89tc4Av20Q1pN4rZJccaYd4G+QJQxZhcwGZgNzC4ces8Bbi78JCIiUv09+SSsWgWLFkG06x/ymfKfLew6lMnC288hIjTA5fWLd3PnLPfrinmrcjf3FRHxBps2wb/+BUOHwuDBLq9+/e7DzPpuO9f1OIMezSJcXr94Py3aKyLibtbCmDHOrPYXXnB59Xn5BYxfvJbIsEAeuLity+uXqkFLv4qIuNsnn8AXXzgLybhhqP2N73ewYU8q027oSu1gf5fXL1WDeugiIu6Une1svtK2Ldx5p8ur33nwCM//ZwsXtIvh4o71XV6/VB3qoYuIuNOUKbBtm9ND93dt7zkrN5/xi9fiY+CfV3Zwy/PmUnUooYuIuMuePc7yrldcARde6NKqD2XkMPytlayMP8Qzg8+kYZ1gl9YvVY8SuoiIuzzwgPPs+fPPu7Ta+AMZ3PrGz+xKyeSV67ty6ZkNXFq/VE1K6CIi7vDzz/D22zBhArRo4bJqf92Zwt/m/Ey+tcy9rSfdm+oRNXEooYuIuMO//gV16zoJ3UU27Uvluhk/ElUrgDm39qBFPa2lLn/SLHcREVdbuxY+/th59rxWLZdUmZWbz93v/kpooB+L7+ilZC4nUQ9dRMTVHn/cSeSjR7usyic/38TmxDTm3Nqd6FpBLqtXqg/10EVEXGnLFli4EP7+d2fI3QWWbU5izvId3NKrKX3buH5hGqkelNBFRFzpySchMNBZTMYFDqRnc/+itbSJqaVlXeW0lNBFRFwlPt6Z2T58OMTEVLg6ay3jF68jNTOXqUM7E+Sv7VCleEroIiKu8vTTzh7nY8e6pLrXvv2DrzYmMv7itrRrEO6SOqX6UkIXEXGFvXth1iy4+WZo3LjC1b23ahdPfr6Jy85swK29mlY8Pqn2lNBFRFxhyhRnVbjx4ytc1dcbExm/eCU7YYsAACAASURBVC3ntori+SGd8fHRGu1SMiV0EZGKSkmB6dNhyBBo2bJCVa3ccZBR81bToWE4r97YjQA//ZmW0tFviohIRb36KqSlVbh3viUxjWFzfqZh7WDeuKU7YYFaKkRKTwldRKQiMjNh6lS46CLo3Lnc1exOyeSmWT8R5O/Lm8N6EBkW6MIgpSbQxz8RkYqYMweSkpyd1cop5UgON8/+iYycPBbefg6NI0JcF5/UGOqhi4iUV14ePPMM9OwJ551Xrioyc/L525srSThwhNdvitPjaVJu6qGLiJTXe+/B9u3Ofuem7DPR8/ILGP3uL6xOOMQr13fl7OaRbghSagr10EVEysNaZ5nXtm3hiivKfHpaVi73LlzDVxsT+cflHbikUwM3BCk1iXroIiLl8cUXsGYNvPEG+JStb/Sf3xKZ9OF6EtOyuP/C1tyshWPEBZTQRUTK48knoVEjuP76Up+SlJbFIx/9xqfr9tK2fi1evbErXc5wzY5sIkroIiJl9f338M03zuNqAQGlOmXf4SwuffF/pGXlcf+FrRlxXgstGiMupYQuIlJWjz8OUVFw222lKm6tZcL7a8nIyWPJnb01k13cQh8PRUTK4tdf4bPPYMwYCA0t1Snvr97N0s37GTdIu6aJ+yihi4iUxRNPQHg4jBpVquKJqVk88vEG4prU5RZNfhM3UkIXESmtzZth0SInmdepU2Jxay0PfbCO7LwCnh58pnZNE7dSQhcRKa2nnoKgIGe4vRSW/LqHrzYmMXZQG5rXC3NzcFLTKaGLiJRGQgK8/TYMHw7R0SUW35+WzeSPNtD1jDrc2rtZJQQoNZ0SuohIaTz7rPPv/feXqviTn2/iSE4eTw8+E18NtUslUEIXESlJYiK8/jrcdBM0blxi8VXxB1m8ehe3nducltG1KiFAESV0EZGSTZkCOTml2iI1v8Dy8JIN1A8P4s5+LSshOBGHErqIyOkcOgTTpsGQIdCqVYnF3/0pgQ17Unno0naEBmrtLqk8SugiIqfz0kuQlgYPPlhi0UMZOTz75WbObh7BZWdq9zSpXEroIiLFSU+HF15wtkft1KnE4s98uZm0rDweuaIjphz7o4tUhNsSujFmtjEmyRiz/hTv3WeMscaYKHddX0SkwqZPh4MH4aGHSiy6btdh3v0pgZvPaUqb+poIJ5XPnT30OcBFJx40xjQGLgQS3HhtEZGKycqC556DCy6AHj1KLD7zuz+oFejHmIEl32cXcQe3JXRr7bfAwVO8NQUYB1h3XVtEpMJmz4Z9+0rVOz+Sk8eXGxK59MwGhAf5V0JwIicz1rovrxpjmgKfWGs7Fr6+Euhvrb3bGLMDiLPWJhdz7ghgBEBMTEy3+fPnuyyu9PR0wsK0DKMrqU1dS+3pemVpU5OXR88bbyQ7KopfXnoJSrgf/uPePKavyWZ89yDaRfq6Ilyvp99R1zu2Tfv167fKWhtXlvMr7ZkKY0wI8CDOcHuJrLUzgBkAcXFxtm/fvi6LZdmyZbiyPlGbupra0/XK1KYLFkBiIkEzZ9K3X78Si7/z5s/EhB9mxFX9a8yqcPoddb2KtmllznJvATQD1hT2zhsBq40x9SsxBhGRkk2bBs2bwyWXlFg05UgO32zZz+VnNqwxyVy8U6X10K2164CiHQ1KGnIXEfGI9evh22/hmWfAp+Q+z+fr95Gbb7mic8NKCE6keO58bO1d4AegjTFmlzHmb+66loiIy7z6KgQGwq23lqr4R7/uoVlUKJ1ia7s5MJHTc1sP3Vp7XQnvN3XXtUVEyiUtDd56C4YOhcjIEosnpmbx4/YDjO7fSgvJiMdppTgRkaPeecdZHe7vfy9V8Y/X7MFauOIsDbeL5ymhi4gAWOtMhuvWDbp3L9UpH6/ZQ4eG4bSM1uNb4nlK6CIiAN9950yI+/vfS3zuHGB7cgZrdh3mSk2GEy+hhC4iAvDKK1C3rnP/vBQ++nUPAJedqYQu3kEJXURk3z5YvNiZ2R4SUmLxLzbs45VlW+nTMoqGdYIrIUCRkimhi4jMnAl5eTByZIlF561I4I53VtG+QTgvXtelEoITKZ1KW1hGRMQr5eXBjBkwcCC0Kn6nNGstL/13K8//Zwt929Rj2g1dCQnQn1DxHvptFJGa7dNPYedOePHF0xb71ycbmf39dq7uEstTg8/E31cDnOJdlNBFpGabNg0aNYLLLiu2yNakNGZ/v53re57Bo1d2xEdrtosX0kdMEam5fv8dvvwSRowAv+L7N/NW7MTf13DvwNZK5uK1lNBFpOaaPt1J5LfdVmyRrNx8Fq/exYUd6hMVFliJwYmUjRK6iNRMmZnwxhtw9dXQoEGxxT5bt5fDmbnc0OOMSgxOpOyU0EWkZlqwAA4dgjvuOG2xeSsSaBYVyjktSt6sRcSTlNBFpGaaNg3atYPzzy+2yOZ9aayMP8R1PRprNzXxekroIlLzrFwJP/9c4rrt81bEE+Drw+BujSsxOJHyUUIXkZrn5ZedJV7/+tdii2Tm5PP+L7u5qGN9IkIDKjE4kfJRQheRmiU+HubOdWa2165dbLGP1+4hLSuP63tqMpxUDUroIlKzPP20M8w+duxpi81bkUCLeqH0bBZRSYGJVIwSuojUHHv3wqxZcPPNzupwxVjxxwF+3ZnCdT3O0GQ4qTKU0EWk5njuOcjNhQceKLZIZk4+4xevpVHdYK7Ts+dShWgtdxGpEfwOH3ZWhrvuOmjRothyT3+xiR0HjvDu8LMJDdSfSKk6TttDN8YMO+b7RsaYr40xKcaY5caY1u4PT0TENRotXgwZGTBhQrFlVvxxgDnLd3DTOU20kIxUOSUNud95zPfPAwuACOAZ4FV3BSUi4lKpqcR+8AFcdRV06HDKIkdy8hj73loa1w1h/EVtKzlAkYoryz301tbaGdbaAmvtBziJXUTE+02bhn96Ojz0ULFFnv73ZhIOHuHpwWdqqF2qpJJ+axsZY14EDFDPGONvrc0tfM/fvaGJiLhAVhZMmcLB7t2J6NbtlEVW7jjInOU7uKVXU85urqF2qZpKSujHPqi5EggDDhlj6gMfuS0qERFXmT8fkpJIGDfulMOK1lqe/vdmYsIDGXdRm0oPT8RVTpvQrbVvFnN8H/CgWyISEXEVa2HqVOjYkZSuXU9Z5PutB/hpx0H+eWUHQgI01C5VV7mfQzfGXObKQEREXG7ZMlizBsaMOeUmLNZapny1hQa1g7i2uzZgkaqtIgvLdHdZFCIi7jB1KkRFwfXXn/Lt//2ezKr4Q/y9X0sC/XwrOTgR1yp3QrfWTnZlICIiLrV1K3z8MdxxBwQHn/T20d55w9pBDIkrfhlYkaqixIRujAk3xpy0rJIx5kz3hCQi4gIvvQR+fk5CP4Vvtuznl4QU7uzfSr1zqRZKWiluCLAJWGyM2WCMOXaYfY47AxMRKbfDh2H2bBg6FBo0OOltp3f+O7F1ghncTb1zqR5K6qE/CHSz1nYGbgXeNsZcVfietiASEe80axakp8Pdd5/y7WWb97NmZwqj+7ckwE97VEn1UNIzGr7W2r0A1tqfjDH9gE+MMY0B6/boRETKKj/fGW4/91w4xUIyqVm5TP5oA2dEhPB/6p1LNVLSR9O0Y++fFyb3vsCVwKkXRBYR8aQvvoAdO+Cuu056y1rLhMXr2J2SyfNDzsLfV71zqT5K6qHfwQlD69baNGPMRcAQt0UlIlJeM2dCvXpwxRUnvfXOigQ+XbeXcRe1Ia6ptqOQ6qWkleLWHPvaGBN+zDmfuysoEZFySUx0HlUbMwYCAo57Kz41n8e++o3zW9dj5HnF74cuUlWVarzJGHO7MWYfsBZYVfi1soRzZhtjkowx64859owxZpMxZq0x5gNjTJ2KBC8icpy33oK8PPjb3447nJ6dx7Rfs6kb4s/zQ87Cx0dzeqX6Ke0NpPuBjtbaptbaZoVfzUs4Zw5w0QnH/lNYz5nAFmBCmaIVESmOtc7s9t69oe3x+5lPXrKBpCOWF4d2ITIs0EMBirhXaRP6NuBIWSq21n4LHDzh2JfW2rzClz8CmmIqIq7x/fewefNJvfOdB4/w/i+7uKiZPz21NapUY6XdWmgCsNwYswLIPnrQWnvyNNLSGwYsqMD5IiJ/mjULatWCa6457vDcFQn4GMPAJtpJTao3Y23Jj5MbY34CvgPWAQVHjxe3veox5zUFPrHWdjzh+ENAHHC1LSYAY8wIYARATExMt/nz55cYZ2mlp6cTFhbmsvpEbepqas+y8c3IoNfgwSQOGMCW++8vOp5bYLl36RFaR/hya6s8takL6XfU9Y5t0379+q2y1saV5fzSfmT1t9beW9bgTsUYcwtwGTCguGQOYK2dAcwAiIuLs3379nXF5QFYtmwZrqxP1KaupvYsoxkzICuLhpMm0bBnz6LDH/6ym7TcXxlzWTfyd29Qm7qQfkddr6JtWtp76J8bY0YYYxoYYyKOfpX1YoXPr48DrrDWlumevIhIsWbOhI4doUeP4w6//WM8zaJC6d0iykOBiVSe0vbQr8NZ6vWBE44XO9PdGPMuzqpyUcaYXcBknHvxgcB/jDEAP1prR5YxZhGRP61bBz//DFOmgPnzcbTf9qSyKv4QEy9tp8fUpEYobUJvD/wd6IOT2P8HTD/dCdba605xeFaZohMRKclrr0FgINx443GH31kRT6Cfj3ZTkxqjtAn9TSAVeLHw9fWFx7T8q4h4Tnq6s5jMNddA1J/D6mlZuXz4y26uOKshdUICTlOBSPVR2oTe0Vrb/pjXS40xv7kjIBGRUps/H9LSYOTxd+4++GU3R3LyufHsJh4KTKTylXZS3GpjzNlHXxhjelLC0q8iIm732mvOZLhevYoOWWt558d4zmxUm7Maa3VpqTlKm9C74Swss8MYswP4AehujFlnjFnrtuhERIqzcqXzNXLkcZPhfth2gC2J6dzYU71zqVlKO+R+4prsIiKe9dprEBJy0mS4Wd9tJzI0gCs6N/RQYCKeUaqEbq2Nd3cgIiKldvgwzJsH118PtWsXHd62P52vNyVx94BWBPn7ejBAkcpX2iF3ERHv8c47cOTISZPh3vh+OwG+PpoMJzWSErqIVC3WwvTpEBcH3boVHU45ksN7q3ZxZeeG1KulLVKl5tH2QyJStSxfDuvXO8u9HmPuigSycgv427nNPBSYiGephy4iVctLLzn3zYcOLTqUk1fAWz/soE/LKNrWD/dcbCIepIQuIlXHjh2waBHcfjuEhhYd/mzdXhJTs/lbH/XOpeZSQheRqmPKFPDxgbvuKjpkrWXmd3/Qol4o57eu58HgRDxLCV1EqoaDB2HWLOdRtdjYosP/+z2Z9btTGdanmXZVkxpNCV1Eqobp0yEjA+6/v+hQRnYeD36wjiaRIfxfV+2qJjWbZrmLiPfLzoYXX4RBg6BTp6LDT36+id0pmSwYcY4WkpEaTz10EfF+77wDiYkwdmzRoeVbk3n7x3hu6dWUHs0iPBiciHdQQhcR71ZQAM89B507Q//+gDPUPm7xWppGhjBuUFsPByjiHTTkLiLe7bPPYONGmDu3aFe1Jz7fyO6UTBbefg7BARpqFwH10EXE2z37LDRuDNdcA8Dybcm882MCt/ZqRvemGmoXOUoJXUS818qV8M03MGYM+PuTm1/ApA/X0yQyhLGD2ng6OhGvooQuIt7ruecgPBxuuw2AN5fvYNv+DCZd2l5D7SInUEIXEe+UkOAs8zp8OISHk5yezQtf/c55resxoF20p6MT8TpK6CLinV54wZkEd/fdADz35WYyc/N5+LL2GKMV4UROpIQuIt7n8GF4/XUYMgQaN2b97sPM/3knN/dqSsvoME9HJ+KVlNBFxPu8/jqkpcF992Gt5R8fbSAiJIC7BrTydGQiXksJXUS8S26uM9zety907cpHa/awMv4QYwe1oXawv6ejE/FaWlhGRLzLokWwaxdMn862/elM/mgDHWPDuSausacjE/Fq6qGLiPew1nlUrW1b9vfpzy1v/ISvMbxyfVd8tTWqyGmphy4i3mPBAli9moxZbzDsrVUkp+Uwf8TZNIkM9XRkIl5PPXQR8Q5HjsDYseR1i+NO2rNhz2Fevr4LZzWu4+nIRKoE9dBFxDs88wx21y4mTZjF0i37eeyqjgxoF+PpqESqDPXQRcTzEhLgqadY9LcHeTchl7/3bcENPZt4OiqRKkU9dBHxvPHj2VqnIZPr96ZXkwjuu1Abr4iUlRK6iHjWd9+R9d773Hn/O4QE+jPl2s6a0S5SDkroIuI5BQVw99386/K72WRDmDPkLGLCgzwdlUiVpHvoIuI58+bxWUYwc1ufz+3nNadvG+2iJlJeSugi4hm5uex9eirjLx3DWY1q6765SAUpoYuIZ7z1Fk816Ut2QBAvXteFAD/9ORKpCLf9H2SMmW2MSTLGrD/mWIQx5j/GmN8L/63rruuLiBfLzuaXV97iww79GH5+S60EJ+IC7vxIPAe46IRjDwBfW2tbAV8XvhaRGsbOnMW/OlxOvQC4o19LT4cjUi24LaFba78FDp5w+ErgzcLv3wT+4q7ri4iXyszk43lfsjq2HWMv70RYoB62EXEFY611X+XGNAU+sdZ2LHydYq2tU/i9AQ4dfX2Kc0cAIwBiYmK6zZ8/32VxpaenExYW5rL6RG3qatW5PestWsxw25WgiHAmDojAx1TOM+fVuU09Qe3pese2ab9+/VZZa+PKcr7HPhpba60xpthPE9baGcAMgLi4ONu3b1+XXXvZsmW4sj5Rm7patW3P9HRefuxt9nSLZv6wszm7eWSlXbratqmHqD1dr6JtWtnTShONMQ0ACv9NquTri4gHJT73MtM6XcxFDfwrNZmL1ASVndA/Am4u/P5mYEklX19EPCUhgSd+OUSefwATbuzt6WhEqh13Prb2LvAD0MYYs8sY8zfgSWCgMeZ34ILC1yJSA/xv4rN82PY87uheX4+pibiB2+6hW2uvK+atAe66poh4p6wvv2JicCeamyzuuLKbp8MRqZa0NJOIuFduLi9P/5T4ug159KZzCPL39XREItWSErqIuNWWqTN4rcX5/F+9Anq1a+jpcESqLSV0EXGbgr17eWhdFmE2j4duv9DT4YhUa1qiSUTcZv6js/i5YReeOTeGiLBAT4cjUq2phy4ibrHm5008EtSeXvkHGHyJJsKJuJsSuoi43L7DWQx/bwNRRw7z0m19MJW0vKtITaaELiIulZWbz4jZP5KRa5mV+wuRbZp7OiSRGkH30EXEZay1jHtvLesS05nxybO0XfKGp0MSqTHUQxcRl3ll6VY+WrOHsSsWMrBjQ2jXztMhidQY6qGLiEssXrWLZ7/cwlWBh7lj2duwYoWnQxKpUdRDF5EKW7opiXGL19K7eQRPznoA078/9Ojh6bBEahT10EWkQn5JOMTf566mXYNaTC9YT+DunTBntqfDEqlxlNBFpNy2JqUzbM7PRIcH8sb1Z1Grxy0QFwcDtAeTSGVTQheRcklKy+Lm2T/h6+PDW8N6UO/VKfDHH/Dqq6DnzkUqne6hi0iZ5eQVMGruag5kZDPn1u40SdsPjz0GgwfDhVqzXcQT1EMXkTJ77NPf+HnHIV4Y2pmOsbXhypvA1xemTPF0aCI1lhK6iJTJopU7efOHeIaf24wrO8fCJ5/ARx/BU09Bo0aeDk+kxtKQu4iU2tpdKTz04Xp6tYhk/EVtITMT7rrLWUBmzBhPhydSo6mHLiKlsvPgEUa+vYp6YYG8fH1X/Hx94MknYft2+O9/ISDA0yGK1GhK6CJyWkdy8pi+bBuvffsHvj6GhbefQ0RoAGzZ4gyzX3cd9Ovn6TBFajwldBE5JWstH63ZwxOfbWJfahaXn9WQBy5uS2ydYCgogNtug+BgeO45T4cqIiihi8gJktOz+WD1bhas3MnWpHQ6xobz0vVd6N404s9C06fD//4Hs2dDgwaeC1ZEiiihi9RA6dl5LN2URFpWXtGxfGv57vf9fL0xibwCS9cz6vD8kLP4S+dYfHyOWSgmIQHGj4cLLoBbbqn84EXklJTQRWqI/ALL8m3JvL96N/9ev4/M3PyTykSFBTCsTzOu6daIVjG1Tq7EWhg50hlynzFDK8KJeBEldJFqLL/AsnLHQb7YkMjn6/ey93AWtYL8uKprLFd3iaVxRMhx5SNCA/D3Pc3TrHPnwuefwwsvQLNmbo5eRMpCCV2kGlq36zDzfornyw2JHMjIIcDPh/NaRfHQpe24oF0MQf6+Za80KQnuvhvOOQdGjXJ90CJSIUroItXI2l0pvPDV73y9KYnQAF/6tY3moo716dsmmrDACvzvbi2MGAHp6TBzprPMq4h4FSV0kWpg495Unv1iM19vSqJOiD9jB7XhpnOaUCvI3zUXeOMNWLLEeUStfXvX1CkiLqWELlLFvbdqFw9+sI6QAF/XJ3JwtkS9+25n8Rgt7yritZTQRaqo3PwCHv3kN978IZ5eLSJ5+fquzgpurpSfDzfdBD4+MGeO86+IeCUldJEqaH9aNqPmruanHQe5rU8zHri4rbO2uqs9/TR8/z28/TaccYbr6xcRl1FCF6kicvML+H5rMp+v28e/N+wjOy+fF4Z2drYwdYfVq+Hhh+Gaa+CGG9xzDRFxGSV0ES9VUGDZtj+dXxJS+HH7Ab7emMThzFzCAv24oF00I85rQfuG4e65+IYNcMklEB0Nr76qBWREqgAldBEv8/XGRKaszOKuZV+SWrg0a+1gfwa0jeaSTg3o0yqqfM+Rl9aaNc6yrv7+8NVXEBnpvmuJiMsooYt4ie3JGfzz4w0s3byfesGGy85qTJfGdehyRl2aR4Uev566u6xaBQMHQmios8d5q1buv6aIuIQSuoiHpWbl8to323j92+0E+Pnw0CXtaJYXzwX9O1VeENbCsmVw1VVQpw4sXaqlXUWqGCV0kUqWmZPPyviDLN92gB+2HWDd7sPkF1iu7hrLAxe1JTo8iGXLEtwfSHa2k8Q//hg++QTi46F5cyeZa0a7SJXjkYRujLkHuA2wwDrgVmttlidiEXG3gxk5/LzjICt3HOTnHYdYv/sweQUWPx/DWY3r8Pe+LRjYPoYzG9VxXxDZ2fDRR7BuHWzaBBs3wpYtkJMDwcHOMPvEifB//wd167ovDhFxm0pP6MaYWOAuoL21NtMYsxAYCsyp7FhE3KGgwLJhTyr/3ZTEfzcnsXZXCtZCgK8PZzWuzYjzmtOjWQTdm0YQWpH11UvDWvjgA7j/fti+3VkYpnlzaNcOLr4Y+vZ1VoALDnZvHCLidp4acvcDgo0xuUAIsMdDcYhUSHp2Hj9vP8j25Ay2J2ew40AGG/emkZyejTFwVqM6jBnQml4tI+kUW9u9s9NP9MsvcM898M030LEjfPaZk7yDgiovBhGpNJWe0K21u40xzwIJQCbwpbX2y8qOQ6QijuTk8ebyeF77dhspR3IBqBXoR7N6oZzbKoo+LaM4v009osICKz+49HR44AGYNs155OzVV+G228BPU2ZEqjNjra3cCxpTF1gMXAukAIuA96y175xQbgQwAiAmJqbb/PnzXRZDeno6YWFh5To3I9eSmFFAak7Z2615bV/CA6vnAh0VadOqJCffsnRnHp/+kUNqDnSK8uWipv40ruVDrQAwLlqApbztWXfVKto88wyBSUns/stf2DFsGHk14L9LadSU39HKovZ0vWPbtF+/fqustXFlOd8TH9kvALZba/cDGGPeB3oBxyV0a+0MYAZAXFyc7du3r8sCWLZsGaWt70hOHtO/+YMftx3gj+R0ktNzyn3dYH9fbundlNvPa06dEBdvouFhZWnTqurrjYk8smQDu1Ny6N0yknsHtqZbkwi3XKvM7Xn4sHOffOZMaN0aFi+mUe/eNHJLdFVTTfgdrUxqT9eraJt6IqEnAGcbY0JwhtwHACs9EMdpWWv58rdEHvloA3sOZ9GtSV0GtI2hWb1QmkeFEhMeVKbVMLNyC5i7Ip7p32zjnR/jGXFuc27q1ZTawS7c5lLcYk9KJo98vIEvNiTSOiaMebf1pFfLKE+H5di9G156CV57DVJTYdw4+Mc/NMlNpAbyxD30FcaY94DVQB7wC4U9cW+RcOAI//h4A//dlETb+rV48bouxDWteE+sR7MIRp7fgue+3MJz/3G+6ocH0SwqlOb1QmlYJxjfMq4G1rlxHc5urqU5Xa2gwLI5MY2vfkvk1W+2UWAt4y9qy9/6NCPAzwu2EF23ztkJbf58KChwHjd74AHo2tXTkYmIh3hkloy1djIw2RPXPp2s3HxmfPsHryzdip+PYeKl7bi5V1P8XbgtZbsG4cy8OY41O1P4bmsy2/ansz05g0/W7uVwZm656rykU30mXtqehnXUK6uIrNx83v0pgeXbDvDzjoNFk936t43mkSs60DgixMMRFpo7F265xZmtfuedcNddWtVNRLRS3FH/3ZTIIx//RvyBI1x6ZgMmXtqOBrXdlyDPalyHsxr/uZCItZbsvALKMkcxt6CAt5bv4OWlW1m6aT93DWjlPT3IKub3xDTunPcLmxPTaBIZwoXtY+jZLJIezSK8J5EDPPecc6+8b19YvBgi3HMPX0Sqnhqf0LcmpfPk55v4amMiLeqFMve2nvT2wP1RY0yZn1EOxpc7+7fiys6x/OuT33jq35tYvHoXz11z1nEfFqR41loWrdzFwx+tJzTAjzm3dqdvm2hPh3WyggInkU+Z4uxP/vbbEOiBR+JExGvV2IQefyCDF77+nQ9/2U2Qvy8PXNyWYb2rZu+2cUQIM26KY+mmJB78YB1Xv7qc0f1bMqpfS5feLqhu0rJymfThej78dQ/nNI9k6tDOxIR72aIr1sLmzc5EtwULYPRomDrVWfFNROQYNS6h707JZPb6bL7/8hv8fAx/69OMkee3INITC4C4WL+20fx7zHn846MNTP3qd5ZuSuK5qYWyCQAAEpBJREFUIZ1pGa1nRU/0302JPPTBehJTs7h3YGtG9WtZ5gmJblNQQO116+DTT2HJEvj9dzAGnngCxo+nTI9XiEiNUeMS+lvLd7B8dx43nt2EUf1aEu1tPbIKqh3sz5RrOzOwfQwPfbCOS1/8HxMva8+NPc9w2aInVdmB9Gwe+fg3Plqzh9YxYbxyQy+6nuFFm5GsWgWjR9Plhx/A399ZqnXMGLj8cmjc2NPR/X979x4dZXWvcfz7S0IuECCBQBADAiGCXAQsKggqqOsUq6Var6XWQm2x2h7R0lO1FbzU1lKVSqstUtGqS6GUWmFVQK2IVFGEAAIKnAOCAoIgECLhFsI+f/zGkoUgBMaZZN7ns9asmXdmmGx3tvPkffdNRGqxyAX6Df2KOdk2cNmFXZJdlC/V17qeQM+T8vmfyYsZ8fxSXluxmd9efipNGqTWgjZHa9feKiYvWMfol1awY88+brngZG7oV1x7ulg2b4Zf/MIXhmnWjBXDh9NhxAho3DjZJROROiJygZ5XP5OmObXkS/xL1rxRNk8MPp0n5qxh1PTlDHhoNqOv7E7fklqyKEoCrC/bxVNvrmHi22vZvquSniflc983u1JS2DDZRXObN8Of/wz33+9rsN9yC4wcyYaFC+mgMBeRGohcoEdNWmycQO92TRk2cSHXjJ9LSfNcOrdsROeWjel8YiNOa52f2F3AEqB8dyV3TX2XKYs+IoTAgC4t+F6ftnzlpPzkdz2EAG+/DY884gPd9u6FAQNg9Gjf1lRE5Bgo0COiU8tGTP1xX56Ys5rSNdt46/2tPL/Id60tys/hl5d0oX9tnK51DN79aDs3PrOAddt2MeSsNgzu04ai/CTNJQ8BFi+Gd96B5cv9tnSpD3TLzYUf/ABuvBE6dUpO+UQkZSjQIyQnM50b+7X/z/GWHXso/WAbv31xBUOemMfFp57AyK93onnDujlQMITApPlrGTHlXfLr12Pi0F6cHocle4/Jp5/6im5jx3qYg29fWlLie5PffDN85zvQsJZc+heROk+BHmFNc7P4r84tOLdDM8bO8iVvZ//vZq7t3YbCxtnk5dQjr349mjbIonXT+uRm1d7m8nH5bkbNWM5zC9bTt30BD13dPTl7kS9YAOPGeZjv2AHdu3uo9+sH7dr5yHURkS9B7f2GloTJykhn2AUlXNztBEY8v5SHX115yPcV5GbRtqA+bQsacO7JzenfsRn1M5PbhFZ/UsG42av4e+l69u3fz03nlzDs/JLEzinftg2efdZHqC9a5GusX301/PCHcMYZmjcuIgmhQJf/KG6Wy7M/6MWefVVs31VJ2U6/bf50Dx9srWDNJxWs2bKTl977mEnz15FdL43+HZrzta4nkLmvBovQH6fKqv28uWoLf52/lulLNpCRnsYVPYu4/pxiWjdNYF/5pk1wzz0wfjzs3g09evhAt0GDIE9L74pIYinQ5XOyMtJp3jD9sH3pVfsDb6/eyrQlG5jx7kamL91IdjoMLHuHy04r4oy2TeI+knzPvirmrNrC9CUbeOm9jynbWUnDrAyGnlPM9/q2SWy//86dvqb6qFH+eMgQuOEGbV0qIkmlQJcaS08zehc3pXdxU+4a2Jl5a7byyAvzeWHxBibNX0frJvU59+RmtGicTYtG2ZzQOJv8Bpmk1SDkA4HVmytY8OE2Sj/YxtL15eyt2k9uVgYXnOJXBc45uVlip9vt2wdPPQUjR8L69XDJJfCb30CHDokrg4jIYSjQ5bikpxm92jVld9csHj2rLy++u5G/l65n6jsfHfP+7tVlZqRx6omNGdynDWe2bULfkgKyMhI8Zz4E+Mc/4I47YNkyOPNMmDABzj47seUQEfkCCvR4CAF27YKcnEgPgKqfmcGlPYq4tEcR4MutbizfzYbtuyjbWfNwb9E4m84tGyU+wKubORNuv90XgunY0fcgv/TSSP+eRaR2UqAfbN06H7G8aZOv4LVnj99XVfnrITb4q6ICNmw4cNu71+cZN2nit4ICHyTVp4/fioqS99+UJDmZ6bQtaEDbggbJLkrNlZZ6kL/8sv/uxo+Ha6/137GISC2kbyfwkJ45E/74R9+usqoK6teHrCzIzPRb9S9yM3+tZUs45xy/z8uD8nLYuhW2bIGNGz0E/vAH/zetW0ObNtCgwYFbQQG0bw/FxX7fqpUCI9lWrIARI+Bvf4OmTeHBB30lt+y6udiOiESH0uOtt3yU8vLl/gU+fLjPH27b9vg/u7LSVwl74w2YM8dDftMmP7uvqPDHe/YceH9ODvTu7X8knHuu99VmZPhI6p07/SpAq1aQFo3NZRImBHj9dRgzxvvKc3J84Nvw4dCoUbJLJyJyVKId6BMmeJi3bOmjl6+4Ir5nYvXqQc+efhs27POv798PH30EK1fCqlW+5ve//w13333g0v7BzjrLy1pcHL9yRlVlpXevjBkDCxdCfj789Kce5M1TY117EYmOaAZ6CHDXXR6cZ58Nzz3nl78TLS3N+2eLinxp0M+UlflZfWkppKf75f+cHF9K9N57oVs3nwf9/e9rcNaxev99X81t3jzfGGXsWLjmGu8KERGpg6IX6Lt2ccq993qf+eDB/kWelYQ1v79IXh5cdJHfDnbVVV7uoUNh6lRfbrSwMOFFrNMmTfJdzsxg4kS48kr9YSQidV70OmNvvZXCmTN9QZDHH699YX4krVr5yOuHHvL700/3udFyZLt2+fiIq67ys/JFi/yxwlxEUkD0An3kSJb8+tdw661194s8Lc375N980wfK9e0Lc+cmu1S129KlvlHKo4/67372bJ91ICKSIqIX6AUFbOndO9mliI8ePbyvPT8fzjsPpk9PdolqnxB8OuLpp/usghkz/OqMtjEVkRQTvUBPNcXFHuodOsDAgfDkk8kuUe2xZYuv6vajH/mgw8WL4atfTXapRES+FAr0VFBYCLNm+fz1wYPhsst8OlyULVvmu59NmwajR8MLL2jwoIikNAV6qmjU6MDl5GnTfNDXuHE+1z1q3nzTxxXs2eML+txyixbjEZGUp2+5VFKvng/4WrzY+9evvx769/c511Hxz3/C+ef7evpz5viiPiIiEaBAT0UlJT7P/rHHfGpWt24+Re9wq8+lir/8xfco79TJxxW0a5fsEomIJIwCPVWZwXXXwZIlPsL7uuvgm9+EzZuTXbL4CwHuu8+X8T3vPHj1VS3dKiKRo0BPda1bw7/+5buGTZsGXbrA00+nTt96VRXcdBP8/OcwaJBfcm/YMNmlEhFJOAV6FKSlwU9+AvPne8Bfe62PAH/xxbp9GX73bvjWt+Dhh31Dlaef9q1uRUQiSIEeJV27+opyEyb43u0DBsAFF/hZbXl5sktXM2VlcOGFvm/5Aw/4TSPZRSTC9A0YNWlpvsvY8uW+bejixfD1r/uo8DPPhNtu8z3ia7PFi330+htvwDPP+Nm5iEjEKdCjKjPT+57XroVXXoHbb/dpbw8+CL17+2jxFSuSXcrPe/ZZ6NULdu70xXQGDUp2iUREagUFetRlZ/vI8F/+El5/HbZtg1/9ykO+c2f48Y9rx8j4ykrfkObb3/az8wUL4Kyzkl0qEZFaIymBbmZ5ZjbZzJab2TIzS5HdUlJAbq6PGF+50vdcHzsWiop86tv11/vxvHmJGyVfWenzy7t0gd//Hm6+2f/YaNEiMT9fRKSOSNYZ+hhgRgihI9AN0IbetU1hoe9StmSJX5pv1MgHoN1wg29DWlwM99wDH3745fz83bv955eU+PzynByYMgV+9zvtlCYicggJD3QzawycA4wHCCHsDSGUJboccpROOQXuv9/PirdsgdWrfXpY+/Zw552+p/iAARTMng379h3/z9u+HUaNgrZtfZe0li19FP7Chb6bnIiIHJKFBM9DNrPuwDjgPfzsvBQYFkKoOOh9Q4GhAIWFhV+ZOHFi3MqwY8cOcnNz4/Z5UZW9cSMtZsygxfTpZG/axO5mzfho4EA2XHQRlfn5ZJSXk7tqFbmrVpFRXs7O1q2pKC5mZ6tWhIyMAx9UVUXWJ59w4pQptJw6lYyKCrb27MmHgwZR1r27r3oXMWqj8ac6jS/VZ/xVr9P+/fuXhhBqtBlFMgK9J/AW0CeEMNfMxgDlIYQRh/s3PXv2DPPnz49bGWbNmkW/fv3i9nmRV1XFkvvuo+trr/mqdJmZfsl+7doD70lLO9DvXq+en4Hv3u3zyT+bA5+WBldcAT/7mS98E2Fqo/GnOo0v1Wf8Va9TM6txoGcc+S1xtw5YF0KYGzueDNyWhHJIvKSns6VvX7jjDp/f/uijsGmTbwrTvbvf5+f7NLglS3we+cqV0KCBP5+X5/cXX+x98yIiUmMJD/QQwkYzW2tmHUIIK4Dz8cvvkgo6dvSBa4fStavfNHdcRCTuknGGDvDfwDNmlgm8DwxJUjlERERSQlICPYSwCKhR34CIiIgcnlaKExERSQEKdBERkRSgQBcREUkBCnQREZEUoEAXERFJAQp0ERGRFKBAFxERSQEKdBERkRSgQBcREUkBCnQREZEUoEAXERFJAQnfD/1YmNlm4IM4fmQB8EkcP09Up/Gm+ow/1Wl8qT7jr3qdnhRCaFaTf1wnAj3ezGx+TTeOly+mOo0v1Wf8qU7jS/UZf8dbp7rkLiIikgIU6CIiIikgqoE+LtkFSEGq0/hSfcaf6jS+VJ/xd1x1Gsk+dBERkVQT1TN0ERGRlBK5QDezAWa2wsxWmtltyS5PXWNmrczsVTN7z8zeNbNhseebmNnLZvZ/sfv8ZJe1rjGzdDNbaGb/jB23NbO5sbb6VzPLTHYZ6wozyzOzyWa23MyWmVlvtdHjY2a3xP6fX2pmE8wsW220ZszscTPbZGZLqz13yHZp7vexul1sZqcd6fMjFehmlg48AlwIdAK+ZWadkluqOmcfMDyE0AnoBfwoVoe3Aa+EEEqAV2LHUjPDgGXVjkcBvwshtAe2AdclpVR10xhgRgihI9ANr1e10WNkZicCNwE9QwhdgHTgatRGa+ovwICDnjtcu7wQKIndhgJ/OtKHRyrQgTOAlSGE90MIe4GJwDeSXKY6JYSwIYSwIPb4U/yL8kS8Hp+Mve1J4JLklLBuMrMi4CLgsdixAecBk2NvUZ0eJTNrDJwDjAcIIewNIZShNnq8MoAcM8sA6gMbUButkRDCbGDrQU8frl1+A3gquLeAPDM74Ys+P2qBfiKwttrxuthzcgzMrA3QA5gLFIYQNsRe2ggUJqlYddVDwM+A/bHjpkBZCGFf7Fht9ei1BTYDT8S6MB4zswaojR6zEMJ64AHgQzzItwOlqI3Gw+HaZY3zKmqBLnFiZrnA34GbQwjl1V8LPnVC0yeOkpldDGwKIZQmuywpIgM4DfhTCKEHUMFBl9fVRmsm1q/7DfyPpZZAAz5/6ViO0/G2y6gF+nqgVbXjothzUgNmVg8P82dCCM/Fnv74s8tBsftNySpfHdQHGGhma/BuoPPwPuC82OVNUFutiXXAuhDC3NjxZDzg1UaP3QXA6hDC5hBCJfAc3m7VRo/f4dpljfMqaoE+DyiJjczMxAd1TE1ymeqUWN/ueGBZCGF0tZemAt+NPf4uMCXRZaurQgi3hxCKQght8DY5M4TwbeBV4PLY21SnRymEsBFYa2YdYk+dD7yH2ujx+BDoZWb1Y98Bn9Wp2ujxO1y7nApcGxvt3gvYXu3S/CFFbmEZM/sa3l+ZDjweQvhVkotUp5hZX+DfwBIO9Pf+HO9HnwS0xnfGuzKEcPDgDzkCM+sH/DSEcLGZtcPP2JsAC4FrQgh7klm+usLMuuMDDDOB94Eh+AmM2ugxMrO7gavwmS4Lge/jfbpqo0fJzCYA/fBd1T4G7gSe5xDtMvaH08N418ZOYEgIYf4Xfn7UAl1ERCQVRe2Su4iISEpSoIuIiKQABbqIiEgKUKCLiIikAAW6iIhIClCgi0SQmbWpvuOTiNR9CnQRiYtqK4aJSBIo0EWiK93M/hzb4/olM8sxs+5m9lZs/+V/VNubeZaZ9Yw9LogtU4uZDTazqWY2E9/6UUSSRIEuEl0lwCMhhM5AGXAZ8BRwawjhVHw1wDuP4nNOAy4PIZz7pZVURI5IgS4SXatDCItij0uBYiAvhPBa7Lkn8X3Fj+RlLaEqknwKdJHoqr7mdhWQ9wXv3ceB74vsg16riGehROTYKNBF5DPbgW1mdnbs+DvAZ2fra4CvxB5fjojUOhqVKiLVfRcYa2b1ObBLGcADwCQzGwq8kKzCicjhabc1ERGRFKBL7iIiIilAgS4iIpICFOgiIiIpQIEuIiKSAhToIiIiKUCBLiIikgIU6CIiIilAgS4iIpIC/h8XssB61bmKYwAAAABJRU5ErkJggg==\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}},{"output_type":"stream","text":["mse:  1.1371638773551067\n","mae:  0.9876775172277231\n","CPU times: user 3min 28s, sys: 1.01 s, total: 3min 29s\n","Wall time: 1min 51s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"C-1_1zW9wdih","colab_type":"text"},"source":["# 对单站点多变量进行预测"]},{"cell_type":"code","metadata":{"id":"blYd5mMpJV2m","colab_type":"code","colab":{}},"source":["#数据集\n","dataset=Bloomsbury.values\n","\n","#划分数据集\n","train_data,val_data,test_data=splitData(dataset,0.1,0.1)\n","\n","train_window=240\n","train_inout_seq = create_train_sequence(train_data, train_window)\n","val_inout_seq = create_val_sequence(train_data, val_data,train_window)\n","test_inout_seq = create_test_sequence(train_data, val_data, test_data,train_window)\n","\n","def predict_lgb_sin(attr):\n","\n","  X_train=np.array([x[0] for x in train_inout_seq])\n","  y_train=np.array([x[1] for x in train_inout_seq]).squeeze(1)\n","\n","  X_val=np.array([x[0] for x in val_inout_seq])\n","  y_val=np.array([x[1] for x in val_inout_seq]).squeeze(1)\n","\n","  X_test=np.array([x[0] for x in test_inout_seq])\n","  y_test=np.array([x[1] for x in test_inout_seq]).squeeze(1)\n","\n","  lgb_train = lgb.Dataset(X_train,y_train[:,index_dic[attr]])\n","  lgb_val = lgb.Dataset(X_val, y_val[:,index_dic[attr]], reference=lgb_train)\n","\n","  gbm = lgb.train(params,\n","                  lgb_train,\n","                  num_boost_round=30,\n","                  valid_sets=lgb_val,\n","                  # early_stopping_rounds=5\n","                  )\n","\n","  y_pred = gbm.predict(X_test, num_iteration=gbm.best_iteration)\n","\n","  print(y_pred.shape)\n","\n","  print('mse:', mean_squared_error(y_test[:,index_dic[attr]], y_pred))\n","  print('mse:', mean_absolute_error(y_test[:,index_dic[attr]], y_pred))\n","\n","  y_pred=pd.DataFrame(y_pred)\n","  y_pred.to_csv(\"/content/drive/My Drive/air_inference/result/lgb_single_\"+attr+\".csv\",header = None, index = None)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"KPvFW5xVKtB8","colab_type":"text"},"source":["对nox进行预测"]},{"cell_type":"code","metadata":{"id":"3VR-UDRVKNQ4","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":612},"executionInfo":{"status":"ok","timestamp":1596673959392,"user_tz":-60,"elapsed":53,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"01718ee4-1794-4a17-c21a-3c42d00d5712"},"source":["%%time\n","predict_lgb_sin('nox')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 765.537\tvalid_0's l1: 21.3929\n","[2]\tvalid_0's l2: 781.9\tvalid_0's l1: 21.5981\n","[3]\tvalid_0's l2: 800.347\tvalid_0's l1: 21.8255\n","[4]\tvalid_0's l2: 820.556\tvalid_0's l1: 22.0754\n","[5]\tvalid_0's l2: 842.574\tvalid_0's l1: 22.3499\n","[6]\tvalid_0's l2: 865.947\tvalid_0's l1: 22.6455\n","[7]\tvalid_0's l2: 890.181\tvalid_0's l1: 22.9497\n","[8]\tvalid_0's l2: 914.778\tvalid_0's l1: 23.2649\n","[9]\tvalid_0's l2: 939.863\tvalid_0's l1: 23.5923\n","[10]\tvalid_0's l2: 965.485\tvalid_0's l1: 23.9194\n","[11]\tvalid_0's l2: 990.813\tvalid_0's l1: 24.2492\n","[12]\tvalid_0's l2: 1016.27\tvalid_0's l1: 24.5878\n","[13]\tvalid_0's l2: 1041.54\tvalid_0's l1: 24.9235\n","[14]\tvalid_0's l2: 1066.93\tvalid_0's l1: 25.2623\n","[15]\tvalid_0's l2: 1091.98\tvalid_0's l1: 25.5996\n","[16]\tvalid_0's l2: 1116.63\tvalid_0's l1: 25.9289\n","[17]\tvalid_0's l2: 1140.5\tvalid_0's l1: 26.2479\n","[18]\tvalid_0's l2: 1163.83\tvalid_0's l1: 26.5575\n","[19]\tvalid_0's l2: 1186.65\tvalid_0's l1: 26.8582\n","[20]\tvalid_0's l2: 1208.7\tvalid_0's l1: 27.1448\n","[21]\tvalid_0's l2: 1230.23\tvalid_0's l1: 27.4208\n","[22]\tvalid_0's l2: 1251.16\tvalid_0's l1: 27.6893\n","[23]\tvalid_0's l2: 1271.43\tvalid_0's l1: 27.9482\n","[24]\tvalid_0's l2: 1291.11\tvalid_0's l1: 28.1994\n","[25]\tvalid_0's l2: 1309.99\tvalid_0's l1: 28.4412\n","[26]\tvalid_0's l2: 1328.42\tvalid_0's l1: 28.6792\n","[27]\tvalid_0's l2: 1346.17\tvalid_0's l1: 28.9071\n","[28]\tvalid_0's l2: 1363.18\tvalid_0's l1: 29.125\n","[29]\tvalid_0's l2: 1379.91\tvalid_0's l1: 29.3368\n","[30]\tvalid_0's l2: 1395.6\tvalid_0's l1: 29.5351\n","(1752,)\n","mse: 36.86843885941211\n","mse: 4.692822268381763\n","CPU times: user 36.7 s, sys: 243 ms, total: 36.9 s\n","Wall time: 20.3 s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"4v74sVVqKvLk","colab_type":"text"},"source":["对no2进行预测"]},{"cell_type":"code","metadata":{"id":"KOZNvK2eKwdQ","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":612},"executionInfo":{"status":"ok","timestamp":1596673959392,"user_tz":-60,"elapsed":46,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"d28daba3-cffa-4e56-f7bc-71c83558954f"},"source":["%%time\n","predict_lgb_sin('no2')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 94.5502\tvalid_0's l1: 7.95348\n","[2]\tvalid_0's l2: 95.9417\tvalid_0's l1: 8.06096\n","[3]\tvalid_0's l2: 98.2457\tvalid_0's l1: 8.19412\n","[4]\tvalid_0's l2: 101.406\tvalid_0's l1: 8.34127\n","[5]\tvalid_0's l2: 105.223\tvalid_0's l1: 8.50081\n","[6]\tvalid_0's l2: 109.633\tvalid_0's l1: 8.6725\n","[7]\tvalid_0's l2: 114.551\tvalid_0's l1: 8.85635\n","[8]\tvalid_0's l2: 119.795\tvalid_0's l1: 9.04979\n","[9]\tvalid_0's l2: 125.378\tvalid_0's l1: 9.25096\n","[10]\tvalid_0's l2: 131.172\tvalid_0's l1: 9.45585\n","[11]\tvalid_0's l2: 137.146\tvalid_0's l1: 9.66755\n","[12]\tvalid_0's l2: 143.235\tvalid_0's l1: 9.88406\n","[13]\tvalid_0's l2: 149.394\tvalid_0's l1: 10.0993\n","[14]\tvalid_0's l2: 155.607\tvalid_0's l1: 10.3083\n","[15]\tvalid_0's l2: 161.819\tvalid_0's l1: 10.5125\n","[16]\tvalid_0's l2: 167.941\tvalid_0's l1: 10.7072\n","[17]\tvalid_0's l2: 174\tvalid_0's l1: 10.8954\n","[18]\tvalid_0's l2: 180.033\tvalid_0's l1: 11.0794\n","[19]\tvalid_0's l2: 185.969\tvalid_0's l1: 11.2585\n","[20]\tvalid_0's l2: 191.752\tvalid_0's l1: 11.4319\n","[21]\tvalid_0's l2: 197.44\tvalid_0's l1: 11.6005\n","[22]\tvalid_0's l2: 202.965\tvalid_0's l1: 11.7632\n","[23]\tvalid_0's l2: 208.403\tvalid_0's l1: 11.9196\n","[24]\tvalid_0's l2: 213.673\tvalid_0's l1: 12.0697\n","[25]\tvalid_0's l2: 218.772\tvalid_0's l1: 12.215\n","[26]\tvalid_0's l2: 223.736\tvalid_0's l1: 12.3553\n","[27]\tvalid_0's l2: 228.531\tvalid_0's l1: 12.49\n","[28]\tvalid_0's l2: 233.155\tvalid_0's l1: 12.6188\n","[29]\tvalid_0's l2: 237.664\tvalid_0's l1: 12.7427\n","[30]\tvalid_0's l2: 241.977\tvalid_0's l1: 12.8614\n","(1752,)\n","mse: 4.4517796762191075\n","mse: 1.713794447995362\n","CPU times: user 37.8 s, sys: 126 ms, total: 37.9 s\n","Wall time: 20.4 s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"5jtdWmsVK54q","colab_type":"text"},"source":["对no进行预测"]},{"cell_type":"code","metadata":{"id":"V8bGb67oK1Cv","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":612},"executionInfo":{"status":"ok","timestamp":1596673959393,"user_tz":-60,"elapsed":40,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"6c106405-2f2c-46bc-e7be-f013fb1b2e22"},"source":["%%time\n","predict_lgb_sin('no')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 149.773\tvalid_0's l1: 9.12838\n","[2]\tvalid_0's l2: 152.76\tvalid_0's l1: 9.18742\n","[3]\tvalid_0's l2: 155.931\tvalid_0's l1: 9.26432\n","[4]\tvalid_0's l2: 159.107\tvalid_0's l1: 9.35118\n","[5]\tvalid_0's l2: 162.439\tvalid_0's l1: 9.45033\n","[6]\tvalid_0's l2: 165.787\tvalid_0's l1: 9.55035\n","[7]\tvalid_0's l2: 169.161\tvalid_0's l1: 9.65055\n","[8]\tvalid_0's l2: 172.485\tvalid_0's l1: 9.75302\n","[9]\tvalid_0's l2: 175.884\tvalid_0's l1: 9.8577\n","[10]\tvalid_0's l2: 179.188\tvalid_0's l1: 9.95969\n","[11]\tvalid_0's l2: 182.482\tvalid_0's l1: 10.0633\n","[12]\tvalid_0's l2: 185.681\tvalid_0's l1: 10.1636\n","[13]\tvalid_0's l2: 188.837\tvalid_0's l1: 10.2628\n","[14]\tvalid_0's l2: 191.914\tvalid_0's l1: 10.3595\n","[15]\tvalid_0's l2: 194.94\tvalid_0's l1: 10.4535\n","[16]\tvalid_0's l2: 197.885\tvalid_0's l1: 10.5449\n","[17]\tvalid_0's l2: 200.747\tvalid_0's l1: 10.6336\n","[18]\tvalid_0's l2: 203.535\tvalid_0's l1: 10.7217\n","[19]\tvalid_0's l2: 206.179\tvalid_0's l1: 10.8057\n","[20]\tvalid_0's l2: 208.777\tvalid_0's l1: 10.8894\n","[21]\tvalid_0's l2: 211.29\tvalid_0's l1: 10.9718\n","[22]\tvalid_0's l2: 213.717\tvalid_0's l1: 11.0516\n","[23]\tvalid_0's l2: 216.062\tvalid_0's l1: 11.1294\n","[24]\tvalid_0's l2: 218.325\tvalid_0's l1: 11.2032\n","[25]\tvalid_0's l2: 220.478\tvalid_0's l1: 11.2752\n","[26]\tvalid_0's l2: 222.545\tvalid_0's l1: 11.3438\n","[27]\tvalid_0's l2: 224.539\tvalid_0's l1: 11.4089\n","[28]\tvalid_0's l2: 226.421\tvalid_0's l1: 11.4714\n","[29]\tvalid_0's l2: 228.283\tvalid_0's l1: 11.5331\n","[30]\tvalid_0's l2: 230.053\tvalid_0's l1: 11.5908\n","(1752,)\n","mse: 7.126442282967526\n","mse: 2.0043615630330343\n","CPU times: user 35.7 s, sys: 120 ms, total: 35.9 s\n","Wall time: 19.3 s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"AZbOzQwZK_fd","colab_type":"text"},"source":["对o3进行预测"]},{"cell_type":"code","metadata":{"id":"wOgtiI26K7I1","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":612},"executionInfo":{"status":"ok","timestamp":1596673959394,"user_tz":-60,"elapsed":33,"user":{"displayName":"Mingming Luo","photoUrl":"","userId":"03419135428294618807"}},"outputId":"eb8b0348-b50c-426a-eeff-6e2b63aadba6"},"source":["%%time\n","predict_lgb_sin('o3')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[1]\tvalid_0's l2: 325.23\tvalid_0's l1: 15.4232\n","[2]\tvalid_0's l2: 328.54\tvalid_0's l1: 15.4967\n","[3]\tvalid_0's l2: 332.138\tvalid_0's l1: 15.5693\n","[4]\tvalid_0's l2: 336\tvalid_0's l1: 15.651\n","[5]\tvalid_0's l2: 340.18\tvalid_0's l1: 15.7368\n","[6]\tvalid_0's l2: 344.425\tvalid_0's l1: 15.8181\n","[7]\tvalid_0's l2: 348.889\tvalid_0's l1: 15.899\n","[8]\tvalid_0's l2: 353.394\tvalid_0's l1: 15.9773\n","[9]\tvalid_0's l2: 358.001\tvalid_0's l1: 16.0543\n","[10]\tvalid_0's l2: 362.586\tvalid_0's l1: 16.1305\n","[11]\tvalid_0's l2: 367.211\tvalid_0's l1: 16.2067\n","[12]\tvalid_0's l2: 371.739\tvalid_0's l1: 16.2802\n","[13]\tvalid_0's l2: 376.222\tvalid_0's l1: 16.3536\n","[14]\tvalid_0's l2: 380.646\tvalid_0's l1: 16.4266\n","[15]\tvalid_0's l2: 385.014\tvalid_0's l1: 16.4991\n","[16]\tvalid_0's l2: 389.34\tvalid_0's l1: 16.5695\n","[17]\tvalid_0's l2: 393.553\tvalid_0's l1: 16.638\n","[18]\tvalid_0's l2: 397.613\tvalid_0's l1: 16.702\n","[19]\tvalid_0's l2: 401.569\tvalid_0's l1: 16.7633\n","[20]\tvalid_0's l2: 405.469\tvalid_0's l1: 16.8233\n","[21]\tvalid_0's l2: 409.236\tvalid_0's l1: 16.8806\n","[22]\tvalid_0's l2: 412.904\tvalid_0's l1: 16.9357\n","[23]\tvalid_0's l2: 416.38\tvalid_0's l1: 16.9872\n","[24]\tvalid_0's l2: 419.742\tvalid_0's l1: 17.0362\n","[25]\tvalid_0's l2: 423.045\tvalid_0's l1: 17.0848\n","[26]\tvalid_0's l2: 426.237\tvalid_0's l1: 17.131\n","[27]\tvalid_0's l2: 429.272\tvalid_0's l1: 17.1742\n","[28]\tvalid_0's l2: 432.191\tvalid_0's l1: 17.2157\n","[29]\tvalid_0's l2: 435.017\tvalid_0's l1: 17.2556\n","[30]\tvalid_0's l2: 437.794\tvalid_0's l1: 17.2947\n","(1752,)\n","mse: 15.207978892917806\n","mse: 3.3289804714580002\n","CPU times: user 38.8 s, sys: 107 ms, total: 38.9 s\n","Wall time: 20.9 s\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"Oz7LXvvENKMv","colab_type":"text"},"source":["对pm2.5进行预测"]},{"cell_type":"code","metadata":{"id":"rAVgySqFNziT","colab_type":"code","colab":{}},"source":["predict_lgb_sin('pm2.5')"],"execution_count":null,"outputs":[]}]}